derivative y=cos^7(pit-16)

解答

导数

y = cos^{7} (π t - 16)

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

求解步骤

\frac{d}{d t} (cos^{7} (π t - 16))

使用连锁律:

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)

化简

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

\frac{d}{d x} (x^{5} + 4 x^{2} - 1)

d er i v a t i v e - 6 x

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

\frac{d}{d x} (x csc (x) - cot (x))

n = 0 \sum \infty \frac{6}{2 ^{n}}