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Popular >

derivative of cos^4(3x^2)

Solution

\frac{d}{d x} (cos^{4} (3 x^{2}))

Solution

- 24 x cos^{3} (3 x^{2}) sin (3 x^{2})

Solution steps

\frac{d}{d x} (cos^{4} (3 x^{2}))

Apply the chain rule:

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

= 4 (cos (3 x^{2}))^{3} \frac{d}{d x} (cos (3 x^{2}))

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

= 4 (cos (3 x^{2}))^{3} (- sin (3 x^{2}) \cdot 6 x)

Simplify

= - 24 x cos^{3} (3 x^{2}) sin (3 x^{2})

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n = 1 \sum \infty \frac{1}{n ^{2} + n ^{3}}

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x \to 9 lim (7 x - 8)

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y^{''}-3y^'+2y=x^2

y^{^{''}} - 3 y^{^{'}} + 2 y = x^{2}

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\int_{- 1}^{1} (e^{y} - y^{2} + 2) d y

Frequently Asked Questions (FAQ)

What is the derivative of cos^4(3x^2) ?
The derivative of cos^4(3x^2) is -24xcos^3(3x^2)sin(3x^2)
What is the first derivative of cos^4(3x^2) ?
The first derivative of cos^4(3x^2) is -24xcos^3(3x^2)sin(3x^2)