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

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

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

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

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derivative of

cos (x^{5})

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

Solution steps

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

Apply the chain rule:

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

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

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

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

n = 0 \sum \infty (\frac{π}{e})^{n}

\frac{e ^{- 2 x}}{2 x ^{2} + 1}

y^{^{''}} - 3 y^{^{'}} - 10 y = 4 e^{4 t}, y (0) = 0, y^{^{'}} (0) = 0

x \to - 3 lim (2 x^{2} + 4 x + 1)

n = 9 \sum \infty e^{5 - 6 n}

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