What is the derivative of (cos^2(x)^2) ?

The derivative of (cos^2(x)^2) is -4cos^3(x)sin(x)

What is the first derivative of (cos^2(x)^2) ?

The first derivative of (cos^2(x)^2) is -4cos^3(x)sin(x)

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

- 4 cos^{3} (x) sin (x)

Solution steps

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

Simplify

(cos^{2} (x))^{2} : cos^{4} (x)

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

Apply the chain rule:

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

= 4 (cos (x))^{3} \frac{d}{d x} (cos (x))

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

= 4 (cos (x))^{3} (- sin (x))

Simplify

= - 4 cos^{3} (x) sin (x)

\int \frac{1}{64 - x ^{2}} d x

x \to - \infty lim (x, 7)

d er i v a t i v e - \frac{4}{x}

x \to - 2 lim (3 x^{2} + 4 x - 3)

\int 20 x e^{0.01 x^{2}} d x

What is the derivative of (cos^2(x)^2) ?
The derivative of (cos^2(x)^2) is -4cos^3(x)sin(x)
What is the first derivative of (cos^2(x)^2) ?
The first derivative of (cos^2(x)^2) is -4cos^3(x)sin(x)