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

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

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

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

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derivative of

y = 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)

\int \frac{1}{5} d x

\int cos (x) 16 - sin^{2} (x) d x

\frac{d}{d x} (- 20 sin (20 x) + cos (x))

\frac{3}{1 + x}

\int 4 x^{3} e^{x^{4}} d x

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