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

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

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

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

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derivative of

f (x) = cos^{5} (x)

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

arcsec (\frac{1}{4 t ^{5}})

n = 0 \sum \infty \frac{z ^{n}}{n ^{2}}

\int 2 x^{13} e^{- x^{7}} d x

\int x^{3} 64 + x^{2} d x

\frac{d ^{6}}{d x ^{6}} (sin (x^{2}))

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