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

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

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

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

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

n = 1 \sum \infty 3 n^{5}

\frac{d}{d x} (ln (x^{2} + 1) - ln (x + 1))

\frac{\partial}{\partial z} (3 x sin (y - z))

y^{^{''}} + 5 y^{^{'}} - 14 y = e^{(4 x)}

(- 1.2) (3.3)

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