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

The derivative of 4cos^4(x) is -16cos^3(x)sin(x)

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

The first derivative of 4cos^4(x) is -16cos^3(x)sin(x)

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derivative of

4 cos^{4} (x)

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

Solution steps

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

Take the constant out:

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

= 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)

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

Simplify

= - 16 cos^{3} (x) sin (x)

y = (2 x^{2} + 5) (4 x - 5)

\int \frac{( x ^{2} + 11 x - 30 )}{x ^{3} - 5 x ^{2} + 6 x} d x

\frac{d y}{d x}, y = cos (x - y)

\int - 6 e^{- 4 c s c (3 x)} cot (3 x) csc (3 x) d x

\frac{\partial}{\partial x} (cos (x y) e^{y^{2}})

What is the derivative of 4cos^4(x) ?
The derivative of 4cos^4(x) is -16cos^3(x)sin(x)
What is the first derivative of 4cos^4(x) ?
The first derivative of 4cos^4(x) is -16cos^3(x)sin(x)