What is the derivative of cos(sin(x^5)) ?

The derivative of cos(sin(x^5)) is -sin(sin(x^5))cos(x^5)*5x^4

What is the first derivative of cos(sin(x^5)) ?

The first derivative of cos(sin(x^5)) is -sin(sin(x^5))cos(x^5)*5x^4

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derivative of

cos (sin (x^{5}))

- sin (sin (x^{5})) cos (x^{5}) \cdot 5 x^{4}

Solution steps

\frac{d}{d x} (cos (sin (x^{5})))

Apply the chain rule:

- sin (sin (x^{5})) \frac{d}{d x} (sin (x^{5}))

= - sin (sin (x^{5})) \frac{d}{d x} (sin (x^{5}))

\frac{d}{d x} (sin (x^{5})) = cos (x^{5}) \cdot 5 x^{4}

= - sin (sin (x^{5})) cos (x^{5}) \cdot 5 x^{4}

\frac{d}{d x} (9 x sin (π x))

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

\int 196 - x^{2} d x

\int_{0}^{1} \frac{9}{x ^{5}} d x

\int \frac{1}{( x ^{2} - 6 x + 11 ) ^{2}} d x

What is the derivative of cos(sin(x^5)) ?
The derivative of cos(sin(x^5)) is -sin(sin(x^5))cos(x^5)*5x^4
What is the first derivative of cos(sin(x^5)) ?
The first derivative of cos(sin(x^5)) is -sin(sin(x^5))cos(x^5)*5x^4