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

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

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

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

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derivative of

3 cos^{2} (x)

- 3 sin (2 x)

Solution steps

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

Take the constant out:

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

= 3 \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)

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

Simplify

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

= - 3 sin (2 x)

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

(x - 2)^{^{'}}

25 t

\int_{0}^{\frac{1}{4}} 4 arcsin (4 y) d y

\int (sin (2) x^{2})^{2} x cos (2) x^{2} d x

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