What is the derivative of 8cos^4(x) ?

The derivative of 8cos^4(x) is -32cos^3(x)sin(x)

What is the first derivative of 8cos^4(x) ?

The first derivative of 8cos^4(x) is -32cos^3(x)sin(x)

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\frac{d}{d x} (8 cos^{4} (x))

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

Solution steps

\frac{d}{d x} (8 cos^{4} (x))

Take the constant out:

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

= 8 \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)

= 8 \cdot 4 (cos (x))^{3} (- sin (x))

Simplify

= - 32 cos^{3} (x) sin (x)

x \to - 1 lim (f (x))

1. 1^{x} + 9^{x} d x

\frac{40}{x ^{9}}

x \to - 1 lim (\frac{x ^{3}}{x ^{2} + 1})

\frac{\partial}{\partial x} (u e^{2 x})

What is the derivative of 8cos^4(x) ?
The derivative of 8cos^4(x) is -32cos^3(x)sin(x)
What is the first derivative of 8cos^4(x) ?
The first derivative of 8cos^4(x) is -32cos^3(x)sin(x)