Question

Differentiation of Sin (Sinx)....plz solve step by step

Answer 1

Hey!!!...Here is ur answer

d/dx [sin (sinx)]

=> cos (sinx) d/dx (sinx)

=> cosx cos (sinx)

Hope it will help you

Answer 2

$\textbf{Answer :}$

Let us learn a few derivative formulas :

d/dx (sinx) = cosx

d/dx (cosx) = - sinx

Let, y = sin (sinx) ...(i)

Now, differentiating both sides with respect to x, we get

dy/dx = d/dx {sin (sinx)}

= cos (sinx) d/dx (sinx)

= {cos (sinx)} cosx,

which is the required derivative.

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