What is the derivative of 8cos^2(x) ?

The derivative of 8cos^2(x) is -8sin(2x)

What is the first derivative of 8cos^2(x) ?

The first derivative of 8cos^2(x) is -8sin(2x)

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\frac{d}{d x} (8 cos^{2} (x))

- 8 sin (2 x)

Solution steps

\frac{d}{d x} (8 cos^{2} (x))

Take the constant out:

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

= 8 \frac{d}{d x} (cos^{2} (x))

Apply the chain rule:

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

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

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

= 8 \cdot 2 cos (x) (- sin (x))

Simplify

8 \cdot 2 cos (x) (- sin (x)) : - 8 sin (2 x)

= - 8 sin (2 x)

2 x^{3} - 6 x^{2} - 2 x + 6, - x^{3} + 3 x^{2} + x - 3

y = 5 cos (7 x), y = 5 - 5 cos (7 x)

\int_{0}^{\frac{π}{16}} cos (8 x) d x

\int_{0}^{4} π (\frac{20 - 5 x}{4})^{2} d x

y = 4 x^{2} + 1

What is the derivative of 8cos^2(x) ?
The derivative of 8cos^2(x) is -8sin(2x)
What is the first derivative of 8cos^2(x) ?
The first derivative of 8cos^2(x) is -8sin(2x)