CBSE > Class 12 > Mathematics | CBSE Board | Homework Help

y= x^sinx + (sinx)^cosx let x^sinx = u and (sinx)^cosx= v dy/dx = du/dx + dv/dx u= x^sinx+++ Taking log on both sides log u = log(x^sinx) = sinx log x Differntiating both sides 1/u du/dx = cosx logx + sinx/x (product rule) du/dx= u {cosxlogx+sinx/x} du/dx= x^sinx(cosxlogx+sinx/x) Now, v = (sinx)^cosx Taking log on both sides log v = log {(sinx)^cosx} = cosx log sinx Differentiating 1/v. dv/dx = (-sinx)log sinx + cos x (cos x/ sin x) dv/dx = v { cos x cot x - sinx log sinx} dv/dx = (sinx)^cos x (cos x cot x - sinx log sinx) => dy/dx = { x^sinx(cosxlogx+sinx/x)} + { (sinx)^cos x (cos x cot x - sinx log sinx)} Therefore, dy/dx = x^sinx (cosxlog x + sinx/x) + sinx^cosx (cosx cotx - sinx log sinx) Note- I've solved both the terms separately because my teacher says log on a whole is not applicable on addition and subtraction operations. Hope this helps ! :-)

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P(a'/b')=?

Posted by Harish Raj 7 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Hero Ji 7 years, 1 month ago

1-p(a intersection b) /1- p(b)

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Using propert of determinants prove that

Posted by Vishva G 7 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Shivanshu Kulshrestha 7 years, 1 month ago

???????

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Integral lim pi÷2 se pi÷3 root 1+cosx÷(1-cosx)power 5÷2

Posted by Harsh Jain 7 years, 1 month ago

CBSE > Class 12 > Mathematics

2 answers

Anshika Patel 7 years, 1 month ago

3/32

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Nehal Mehta 7 years, 1 month ago

={ (1+cosx)^1/2/(1-cosx)^5/2 ={ √2 cos(x/2)/4√2 sin^5(x/2) Take, sin(x/2) = t So, 1/2cos(x/2)dx=dt Cos(x/2)dx=2dt And when x = π/2 then t = 1/√2 x = π/3 then t = 1/2 = (1/2){t^-5 = -1/8 [t^-4] By putting the value of limits : I = 3/2 . . * { = integration sign *

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Integral e^x (sin4x -4÷1-cos 4x)dx

Posted by Varada Bhagyalakshmi 7 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Anshika Patel 7 years, 1 month ago

e^x(cot2x)+C

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1 1 1+3x 1+3y 1 1 1 1+3z 1 =9(3xyz+xy+yz+zx) by property

Posted by Aryan Nagar 7 years, 1 month ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Cos y = x cos(a+y)

Posted by Ankit Kumar 7 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Ayush Kumar Gupta 7 years, 1 month ago

What do you want in this question???

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Solve x4/4-x3-5x2+24x+12

Posted by Ankit Singla 7 years, 1 month ago

CBSE > Class 12 > Mathematics

0 answers

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How to solve power 4 eqns

Posted by Ankit Singla 7 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Ayush Kumar Gupta 7 years, 1 month ago

Let X equal to t square, and solve the question

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Vector a request to ICAP + 2 J - 4 k + Lambda 2y + 3 + 6 k and R vector equals to 3 + 3 - 5 k cap + mewtwo Y + 3 + 6 ke find shortest distance

Posted by Vipin Rajput 7 years, 1 month ago

CBSE > Class 12 > Mathematics

0 answers

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Let N denote the set of all natural numbers and R be the relation on N×N defined by (a,b) R (c,d) if ad(b+c)= bc(a+d). Show that R is a equivalence realtion

Posted by Harsh Kalra 7 years, 1 month ago

CBSE > Class 12 > Mathematics

0 answers

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Largest 5 digit number

Posted by Krishna Rawat 7 years, 1 month ago

CBSE > Class 12 > Mathematics

7 answers

Aryan Nagar 7 years, 1 month ago

99999

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Yo Yo Honey Singh ? 7 years, 1 month ago

What the stupid question is this

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Ankit Kumar 7 years, 1 month ago

99999

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Brij Kishore 7 years, 1 month ago

99999

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Kalas Sahu 7 years, 1 month ago

99999

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Dinasha Gurdasani 7 years, 1 month ago

Its 99999

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H!Mαη$Hμ Ұαδαυ ✔️ 7 years, 1 month ago

99999

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Best guess paper for Maths ??? what's your opinion about BRILLIANT guess paper ?

Posted by Surbhi . 7 years, 1 month ago

CBSE > Class 12 > Mathematics

2 answers

Yo Yo Honey Singh ? 7 years, 1 month ago

It is really useless. Instead of guess papers you should solved previous year question paper it will be more helpful

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Ankit Kumar 7 years, 1 month ago

Brilliant is useless

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The number of all possible matrices of order 3×3 with each entry 0 or 1 is:

Posted by Vishal Rathore 7 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Bharat Sukhija 7 years, 1 month ago

2 ke power 9

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Class 12 maths chapter 4 example 15

Posted by Sudhanshu Kumar 7 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Aryan Nagar 7 years, 1 month ago

solve it by using propery

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the area of two similar triangle abc and def arec36cmsquare and 81cmsquare respectively if ef =6.9cm find bc

Posted by Abhishek Saini 7 years, 1 month ago

CBSE > Class 12 > Mathematics

2 answers

Anshika Patel 7 years, 1 month ago

Sorry it may be 13.8 cm

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Anshika Patel 7 years, 1 month ago

4.6cm

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What is vector

Posted by Mayank Jangid 7 years, 1 month ago

CBSE > Class 12 > Mathematics

2 answers

Mayank Jangid 7 years, 1 month ago

The physical quantity which expressed by direction and magnitude

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Harshit Singh 7 years, 1 month ago

It is any physical quantity that has both direction and magnitude. eg. Force,velocity

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dy/dx=(4x-y+1)^2

Posted by Akshat Rakhecha 7 years, 1 month ago

CBSE > Class 12 > Mathematics

2 answers

Anshika Patel 7 years, 1 month ago

How u solve it?

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Mansi Sharma 7 years, 1 month ago

24x-6y+6

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Sin(x+a)sin(x-a)

Posted by Chandra Sree Gandhavarapu 7 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Mansi Sharma 7 years, 1 month ago

So what do u want to know about that ?

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Integrate e^x(logx +1/x^2)

Posted by R Sounds 7 years, 1 month ago

CBSE > Class 12 > Mathematics

3 answers

Chandra Sree Gandhavarapu 7 years, 1 month ago

Is it 1/x^2 or 1/x

2Thank You

Superman Kent 7 years, 1 month ago

Use integration by parts for first fn u will get the use of theorem given in NCERT

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Superman Kent 7 years, 1 month ago

Use integration by parts

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How can i pass nhi n maths which ch help me to score around 50

Posted by Gaurav T 7 years, 1 month ago

CBSE > Class 12 > Mathematics

2 answers

Mansi Sharma 7 years, 1 month ago

And if ur maths is strong then go through calculas it is of 44 marks u will score better .

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Mansi Sharma 7 years, 1 month ago

ITF , vector algebra, matrix , determinants , 3D probability these chapters r very easy prepare these chapters very well after that u will score good marks in maths.

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How can i pass in maths which chapter can help me

Posted by Gaurav T 7 years, 1 month ago

CBSE > Class 12 > Mathematics

2 answers

Navya Singh 7 years, 1 month ago

Integral , application of derivative , continuity nd differentiation

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Yo Yo Honey Singh ? 5 years, 10 months ago

Addition subtraction multiplication division LCM HCF percentage profit loss simple interest compound interest

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Differentiability rd sharma Solution

Posted by Parminder Kumar 7 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Yo Yo Honey Singh ? 7 years, 1 month ago

I didn't understand what you want to tell differentiability RD Sharma what does it mean

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Integration of root tan x dx

Posted by Ashok Bhati 7 years, 1 month ago

CBSE > Class 12 > Mathematics

2 answers

Mansi Sharma 7 years, 1 month ago

If u r doing this with full intrest and clear ur differentiation part then it would be very easy and intresting for u .

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Gaurav T 5 years, 10 months ago

Integration ko छोड़ do time waste

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How can practice more for board exam? suggest study tips

Posted by Leon David 7 years, 1 month ago

CBSE > Class 12 > Mathematics

2 answers

Navya Singh 7 years, 1 month ago

Follow ncert nd last years sample paper. .make a proper time table..nd follow it .. Avoid distraction like mobile or tv

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Yo Yo Honey Singh ? 7 years, 1 month ago

Just practice practice practice how can you practice what the stupid question you are asking just practice things just study there is no way other than studying for board exam

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kya Ncert ke miscellaneous exercise important hai ?

Posted by Nisha Singh 7 years, 1 month ago

CBSE > Class 12 > Mathematics