What is the derivative of 5cos^2(3x) ?

The derivative of 5cos^2(3x) is -30cos(3x)sin(3x)

What is the first derivative of 5cos^2(3x) ?

The first derivative of 5cos^2(3x) is -30cos(3x)sin(3x)

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derivative of

5 cos^{2} (3 x)

- 30 cos (3 x) sin (3 x)

Solution steps

\frac{d}{d x} (5 cos^{2} (3 x))

Take the constant out:

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

= 5 \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

= 5 \cdot 2 cos (3 x) (- sin (3 x) \cdot 3)

Simplify

= - 30 cos (3 x) sin (3 x)

u + 1

5^{x + 3}

x^{3} - x + 2

\frac{1}{( a + x ) ^{2}}

f (x) = - 6 x + 3

What is the derivative of 5cos^2(3x) ?
The derivative of 5cos^2(3x) is -30cos(3x)sin(3x)
What is the first derivative of 5cos^2(3x) ?
The first derivative of 5cos^2(3x) is -30cos(3x)sin(3x)