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

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

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

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

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

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

Solution steps

\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)

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

Simplify

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

\int (sec^{2} (θ) + 6) d θ

1 - 2 sin^{2} (x)

y = (\frac{x + 3}{x - 1})^{2}, (5, 4)

f (x) = sin (x) + arcsin (x)

\frac{d}{d x} (lo g_{2} (5 x))

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