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Popular >

derivative of cos^2(-3x^2+2)

Solution

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

Solution

12 x cos (- 3 x^{2} + 2) sin (- 3 x^{2} + 2)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (cos (- 3 x^{2} + 2)) = 6 x sin (- 3 x^{2} + 2)

= 2 cos (- 3 x^{2} + 2) \cdot 6 x sin (- 3 x^{2} + 2)

Simplify

= 12 x cos (- 3 x^{2} + 2) sin (- 3 x^{2} + 2)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of cos^2(-3x^2+2) ?
The derivative of cos^2(-3x^2+2) is 12xcos(-3x^2+2)sin(-3x^2+2)
What is the first derivative of cos^2(-3x^2+2) ?
The first derivative of cos^2(-3x^2+2) is 12xcos(-3x^2+2)sin(-3x^2+2)