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Popular >

derivative of cos^2(2x^4-4)

Solution

\frac{d}{d x} (cos^{2} (2 x^{4} - 4))

Solution

- 16 x^{3} cos (2 x^{4} - 4) sin (2 x^{4} - 4)

Solution steps

\frac{d}{d x} (cos^{2} (2 x^{4} - 4))

Apply the chain rule:

2 cos (2 x^{4} - 4) \frac{d}{d x} (cos (2 x^{4} - 4))

= 2 cos (2 x^{4} - 4) \frac{d}{d x} (cos (2 x^{4} - 4))

\frac{d}{d x} (cos (2 x^{4} - 4)) = - sin (2 x^{4} - 4) \cdot 8 x^{3}

= 2 cos (2 x^{4} - 4) (- sin (2 x^{4} - 4) \cdot 8 x^{3})

Simplify

= - 16 x^{3} cos (2 x^{4} - 4) sin (2 x^{4} - 4)

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\int \frac{3}{x ^{2} - 1} d x

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Frequently Asked Questions (FAQ)

What is the derivative of cos^2(2x^4-4) ?
The derivative of cos^2(2x^4-4) is -16x^3cos(2x^4-4)sin(2x^4-4)
What is the first derivative of cos^2(2x^4-4) ?
The first derivative of cos^2(2x^4-4) is -16x^3cos(2x^4-4)sin(2x^4-4)