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Find the derivative of f(x) from …

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Find the derivative of f(x) from the first principal, where f(x) is xsinx

Posted by Amit Singh 7 years, 11 months ago

CBSE > Class 11 > Mathematics

1 answers

Yadav Tannu 7 years, 11 months ago

Let f(x) =xsinx. =df(x)/dx=limf(x+h)-f(x)/h=lim(x+h)-xsinx/h = lim(x+h)(sinxcosh+cosxsinh)-xsinx/h [•.•sin(x+y)=sinxcosy+cosxsiny] =lim xsinxcosh-xsinx+xcosxsinh+h(sinxcosh+sinhcosx)/h =lim xsinx(cosh-1)+xcosxsinh+h(sinxcosh+sinhcosx)/h. =lim xsinx(cosh-1)/h+lim xcosx sinh/h+lim(sinxcosh+sinhcosx) =xcosx+sinx. Here lim in the complete solution.. h-0

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