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Popular >

derivative of y=cos^7(pit-16)

Solution

derivative of

y = cos^{7} (π t - 16)

Solution

- 7 π cos^{6} (π t - 16) sin (π t - 16)

Solution steps

\frac{d}{d t} (cos^{7} (π t - 16))

Apply the chain rule:

7 (cos (π t - 16))^{6} \frac{d}{d t} (cos (π t - 16))

= 7 (cos (π t - 16))^{6} \frac{d}{d t} (cos (π t - 16))

\frac{d}{d t} (cos (π t - 16)) = - sin (π t - 16) π

= 7 (cos (π t - 16))^{6} (- sin (π t - 16) π)

Simplify

= - 7 π cos^{6} (π t - 16) sin (π t - 16)

Graph

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\frac{d}{d y} (y^{2} e^{x y})

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Frequently Asked Questions (FAQ)

What is the derivative of y=cos^7(pit-16) ?
The derivative of y=cos^7(pit-16) is -7picos^6(pit-16)sin(pit-16)
What is the first derivative of y=cos^7(pit-16) ?
The first derivative of y=cos^7(pit-16) is -7picos^6(pit-16)sin(pit-16)