Find the derivative of following functions w.r.t. x: sin {cos (x2)}

1.	Find the derivative of following functions w.r.t. x: sin {cos (x2)}
Answer» Let y = sin {cos (x²)} Diff. w.r.t. x, dy/dx= d/dx sin (cos(x²)) cos (cos x²). (- sin x²) d/dxx² = -cos (cos x²) sin (x²). 2x = -2x sin (x²) cos (cos x²)

Answer»

Let y = sin {cos (x²)}

Diff. w.r.t. x,

dy/dx= d/dx sin (cos(x²))

cos (cos x²). (- sin x²) d/dxx²

= -cos (cos x²) sin (x²). 2x

= -2x sin (x²) cos (cos x²)

Discussion

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