Question

$\ \textless \ br /\ \textgreater \ \frac{d}{dx} \: cos \: (sin \: x)\ \textless \ br /\ \textgreater \ find the derivative w.r to x​$
​

Answer 1

Step-by-step explanation:

$\frac{d}{dx}cos(sin \: x) \\ \\ = - sin(sin \: x) \frac{d}{dx} (sin \: x) \\ \\ = - sin(sin \: x)cos \: x \\ \\ = - cos \: x \: sin(sin \: x)$

Answer 2

Answer:

$\sf\ \implies: - cos \: x \: sin(sin \: x) \: \: \ddot \smile$

Step-by-step explanation:

correct question=

$\sf\huge{ \frac{d}{dx}cos(sin \: x)}$

$\sf\ \implies \:\frac{d}{dx}cos(sin \: x) \\ \\ \sf\ \implies: - sin(sin \: x) \frac{d}{dx} (sin \: x) \\ \\ \sf\ \implies: - sin(sin \: x)cos \: x \\ \\ \sf\ \implies: - cos \: x \: sin(sin \: x) \: \: \ddot \smile$