What is the derivative of 2cos^3(x) ?

The derivative of 2cos^3(x) is -6cos^2(x)sin(x)

What is the first derivative of 2cos^3(x) ?

The first derivative of 2cos^3(x) is -6cos^2(x)sin(x)

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derivative of

2 cos^{3} (x)

- 6 cos^{2} (x) sin (x)

Solution steps

\frac{d}{d x} (2 cos^{3} (x))

Take the constant out:

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

= 2 \frac{d}{d x} (cos^{3} (x))

Apply the chain rule:

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

= 3 (cos (x))^{2} \frac{d}{d x} (cos (x))

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

= 2 \cdot 3 (cos (x))^{2} (- sin (x))

Simplify

= - 6 cos^{2} (x) sin (x)

\int (8 x - 2 x) d x

\int \frac{1}{1 + 2 sin ( x )} d x

\frac{d y}{d x} = y + 6

\int 12 x 1 + 6 x^{2} d x

y^{^{'}} = 12 x y - 2 x

What is the derivative of 2cos^3(x) ?
The derivative of 2cos^3(x) is -6cos^2(x)sin(x)
What is the first derivative of 2cos^3(x) ?
The first derivative of 2cos^3(x) is -6cos^2(x)sin(x)