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Popular >

derivative of 9cos^3(x)

Solution

\frac{d}{d x} (9 cos^{3} (x))

Solution

- 27 cos^{2} (x) sin (x)

Solution steps

\frac{d}{d x} (9 cos^{3} (x))

Take the constant out:

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

= 9 \frac{d}{d x} (cos^{3} (x))

Apply the chain rule:

3 (cos (x))^{2} \frac{d}{d x} (cos (x))

= 3 (cos (x))^{2} \frac{d}{d x} (cos (x))

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

= 9 \cdot 3 (cos (x))^{2} (- sin (x))

Simplify

= - 27 cos^{2} (x) sin (x)

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x \to \infty lim (i^{x})

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\int \frac{3}{x ln ( 2 x )} d x

Frequently Asked Questions (FAQ)

What is the derivative of 9cos^3(x) ?
The derivative of 9cos^3(x) is -27cos^2(x)sin(x)
What is the first derivative of 9cos^3(x) ?
The first derivative of 9cos^3(x) is -27cos^2(x)sin(x)