What is the derivative of f(x)=cos(sin(x^2)) ?

The derivative of f(x)=cos(sin(x^2)) is -sin(sin(x^2))cos(x^2)*2x

What is the first derivative of f(x)=cos(sin(x^2)) ?

The first derivative of f(x)=cos(sin(x^2)) is -sin(sin(x^2))cos(x^2)*2x

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derivative of

f (x) = cos (sin (x^{2}))

- sin (sin (x^{2})) cos (x^{2}) \cdot 2 x

Solution steps

\frac{d}{d x} (cos (sin (x^{2})))

Apply the chain rule:

- sin (sin (x^{2})) \frac{d}{d x} (sin (x^{2}))

= - sin (sin (x^{2})) \frac{d}{d x} (sin (x^{2}))

\frac{d}{d x} (sin (x^{2})) = cos (x^{2}) \cdot 2 x

= - sin (sin (x^{2})) cos (x^{2}) \cdot 2 x

What is the derivative of f(x)=cos(sin(x^2)) ?
The derivative of f(x)=cos(sin(x^2)) is -sin(sin(x^2))cos(x^2)*2x
What is the first derivative of f(x)=cos(sin(x^2)) ?
The first derivative of f(x)=cos(sin(x^2)) is -sin(sin(x^2))cos(x^2)*2x