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Popular >

derivative of (cos^2(s)-11s^2)^2

Solution

derivative of

(cos^{2} (s) - 11 s^{2})^{2}

Solution

2 (cos^{2} (s) - 11 s^{2}) (- sin (2 s) - 22 s)

Solution steps

\frac{d}{d s} ((cos^{2} (s) - 11 s^{2})^{2})

Apply the chain rule:

2 (cos^{2} (s) - 11 s^{2}) \frac{d}{d s} (cos^{2} (s) - 11 s^{2})

= 2 (cos^{2} (s) - 11 s^{2}) \frac{d}{d s} (cos^{2} (s) - 11 s^{2})

\frac{d}{d s} (cos^{2} (s) - 11 s^{2}) = - sin (2 s) - 22 s

= 2 (cos^{2} (s) - 11 s^{2}) (- sin (2 s) - 22 s)

Graph

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\frac{d}{d x} ((1 + x^{4} tan (x))^{- 5})

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Frequently Asked Questions (FAQ)

What is the derivative of (cos^2(s)-11s^2)^2 ?
The derivative of (cos^2(s)-11s^2)^2 is 2(cos^2(s)-11s^2)(-sin(2s)-22s)
What is the first derivative of (cos^2(s)-11s^2)^2 ?
The first derivative of (cos^2(s)-11s^2)^2 is 2(cos^2(s)-11s^2)(-sin(2s)-22s)