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Popular >

derivative of e^{cos^2(pit-11)}

Solution

derivative of

e^{c o s^{2} (π t - 11)}

Solution

- π e^{c o s^{2} (π t - 11)} sin (2 (- 11 + π t))

Solution steps

\frac{d}{d t} (e^{c o s^{2} (π t - 11)})

Apply the chain rule:

e^{c o s^{2} (π t - 11)} \frac{d}{d t} (cos^{2} (π t - 11))

= e^{c o s^{2} (π t - 11)} \frac{d}{d t} (cos^{2} (π t - 11))

\frac{d}{d t} (cos^{2} (π t - 11)) = - π sin (2 (- 11 + π t))

= e^{c o s^{2} (π t - 11)} (- π sin (2 (- 11 + π t)))

Simplify

= - π e^{c o s^{2} (π t - 11)} sin (2 (- 11 + π t))

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Frequently Asked Questions (FAQ)

What is the derivative of e^{cos^2(pit-11)} ?
The derivative of e^{cos^2(pit-11)} is -pie^{cos^2(pit-11)}sin(2(-11+pit))
What is the first derivative of e^{cos^2(pit-11)} ?
The first derivative of e^{cos^2(pit-11)} is -pie^{cos^2(pit-11)}sin(2(-11+pit))