Question

if y = cotx, dy/dx is​

Answer 1

SOLUTION

GIVEN

y = cotx

TO DETERMINE

$\displaystyle \sf{ \frac{dy}{dx} }$

EVALUATION

Here it is given that

y = cotx

Differentiating both sides with respect to x we get

$\displaystyle \sf{ \frac{dy}{dx} = - { \csc}^{2} x}$

FINAL ANSWER

$\boxed{ \: \: \displaystyle \sf{ \frac{dy}{dx} = - { \csc}^{2} x} \: \: }$

Note : csc means cosec

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