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Popular >

derivative of cos^3(1-5x^2)

Solution

\frac{d}{d x} (cos^{3} (1 - 5 x^{2}))

Solution

30 x cos^{2} (1 - 5 x^{2}) sin (1 - 5 x^{2})

Solution steps

\frac{d}{d x} (cos^{3} (1 - 5 x^{2}))

Apply the chain rule:

3 (cos (1 - 5 x^{2}))^{2} \frac{d}{d x} (cos (1 - 5 x^{2}))

= 3 (cos (1 - 5 x^{2}))^{2} \frac{d}{d x} (cos (1 - 5 x^{2}))

\frac{d}{d x} (cos (1 - 5 x^{2})) = 10 x sin (1 - 5 x^{2})

= 3 (cos (1 - 5 x^{2}))^{2} \cdot 10 x sin (1 - 5 x^{2})

Simplify

= 30 x cos^{2} (1 - 5 x^{2}) sin (1 - 5 x^{2})

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\int \frac{( x + 1 ) ^{3}}{( x ) ^{10}} d x

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d/(dX)(7.1X+20.3)

\frac{d}{d X} (7.1 X + 20.3)

Frequently Asked Questions (FAQ)

What is the derivative of cos^3(1-5x^2) ?
The derivative of cos^3(1-5x^2) is 30xcos^2(1-5x^2)sin(1-5x^2)
What is the first derivative of cos^3(1-5x^2) ?
The first derivative of cos^3(1-5x^2) is 30xcos^2(1-5x^2)sin(1-5x^2)