What is the derivative of-1/4 cos^4(x) ?

The derivative of-1/4 cos^4(x) is cos^3(x)sin(x)

What is the first derivative of-1/4 cos^4(x) ?

The first derivative of-1/4 cos^4(x) is cos^3(x)sin(x)

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derivative of

- \frac{1}{4} cos^{4} (x)

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

Solution steps

\frac{d}{d x} (- \frac{1}{4} cos^{4} (x))

Take the constant out:

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

= - \frac{1}{4} \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)

= - \frac{1}{4} \cdot 4 (cos (x))^{3} (- sin (x))

Simplify

- \frac{1}{4} \cdot 4 cos^{3} (x) (- sin (x)) : cos^{3} (x) sin (x)

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

\int \frac{x ^{4} - 3 x ^{2}}{x ^{5} - 5 x ^{3} - 24} d x

\frac{x}{y}

\int e^{- 4 x} sin (3 x) d x

\int \frac{x ^{3}}{3 1 - x ^{2}} d x

f (x) = x + x, at x = 36

What is the derivative of-1/4 cos^4(x) ?
The derivative of-1/4 cos^4(x) is cos^3(x)sin(x)
What is the first derivative of-1/4 cos^4(x) ?
The first derivative of-1/4 cos^4(x) is cos^3(x)sin(x)