What is the derivative of-10cos^6(x) ?

The derivative of-10cos^6(x) is 60cos^5(x)sin(x)

What is the first derivative of-10cos^6(x) ?

The first derivative of-10cos^6(x) is 60cos^5(x)sin(x)

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derivative of

- 10 cos^{6} (x)

60 cos^{5} (x) sin (x)

Solution steps

\frac{d}{d x} (- 10 cos^{6} (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 10 \frac{d}{d x} (cos^{6} (x))

Apply the chain rule:

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

= 6 (cos (x))^{5} \frac{d}{d x} (cos (x))

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

= - 10 \cdot 6 (cos (x))^{5} (- sin (x))

Simplify

= 60 cos^{5} (x) sin (x)

x^{1} - d

\frac{x ^{4}}{4 + x ^{33} + x ^{22}}

\frac{64}{x ^{3}}

f (x) = x^{3} + 1

\frac{8 x}{3}

What is the derivative of-10cos^6(x) ?
The derivative of-10cos^6(x) is 60cos^5(x)sin(x)
What is the first derivative of-10cos^6(x) ?
The first derivative of-10cos^6(x) is 60cos^5(x)sin(x)