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)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

y = cos^{7} (π t - 16)

- 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)

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)