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

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

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

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

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derivative of

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

f (x) = \frac{x}{x ^{2} + 2}

x \to 6 lim (\frac{1}{x} - \frac{1}{6})

f (t) = - 3 sin (t)

3 \cdot 4^{x}

\frac{d}{d x} (5 x^{3} e^{- x})

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