What is the derivative of-cos^3(x) ?

The derivative of-cos^3(x) is 3cos^2(x)sin(x)

What is the first derivative of-cos^3(x) ?

The first derivative of-cos^3(x) is 3cos^2(x)sin(x)

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

3 cos^{2} (x) sin (x)

Solution steps

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

Take the constant out:

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

= - \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)

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

Simplify

= 3 cos^{2} (x) sin (x)

\int_{0}^{π} 5 sin^{2} (x co) s^{4} x d x

x \to 2 lim (x^{2} - 4 x + 6)

\frac{d}{d x} (e^{x} cot (y) + 2 y csc (y))

\int \frac{1}{2 ( x - 2 )} d x

\int_{0}^{1} x^{2} e^{x^{3} - 1} d x

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