Find dy/dx=1/x
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Posted by Sahil Singh 7 years, 5 months ago
- 3 answers
Prabjeet Singh 7 years, 5 months ago
{tex}y=\cfrac {1}{x}{/tex}
{tex}\cfrac {d}{dx} (y)=\cfrac {d}{dx} \bigg( \cfrac{1}{x} \bigg){/tex}
{tex}\cfrac {d}{dx} (y)=\cfrac {d}{dx} (x^{-1}){/tex}
{tex}\cfrac {dy}{dx} = -1(x)^{-1-1}{/tex}
{tex}\cfrac {dy}{dx} = -x^{-2}{/tex}
{tex}\cfrac {dy}{dx} = - \cfrac {1}{x^2}{/tex}
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Pragya Singh 7 years, 5 months ago
0Thank You