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

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

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

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

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derivative of

cos^{2} (3 x)

- 3 sin (6 x)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (cos (3 x)) = - sin (3 x) \cdot 3

= 2 cos (3 x) (- sin (3 x) \cdot 3)

Simplify

2 cos (3 x) (- sin (3 x) \cdot 3) : - 3 sin (6 x)

= - 3 sin (6 x)

\int 6 x^{\frac{2}{3}} - 8 x^{\frac{3}{4}} d x

x \to 1 + lim (ln (x))

\frac{d ^{2}}{d x ^{2}} (e^{5 e^{x}})

\int e^{7 x + 5} d x

\frac{d}{d x} (4 (5 - 9 x)^{5})

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