derivative of (cos(pix-16)^4)

解答

\frac{d}{d x} ((cos (π x - 16))^{4})

- 4 π cos^{3} (π x - 16) sin (π x - 16)

求解步骤

\frac{d}{d x} ((cos (π x - 16))^{4})

使用连锁律:

4 (cos (π x - 16))^{3} \frac{d}{d x} (cos (π x - 16))

= 4 (cos (π x - 16))^{3} \frac{d}{d x} (cos (π x - 16))

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

= 4 (cos (π x - 16))^{3} (- sin (π x - 16) π)

化简

= - 4 π cos^{3} (π x - 16) sin (π x - 16)

\int \frac{1}{- x ^{2} - 6 x} d x

a re a x = - y, x = 2 y + 3, y = - 2, y = 1

\frac{d}{d x} (x ln (3))

d er i v a t i v e f (x) = x + 1

\frac{d x}{x ( y - 1 )} + \frac{d y}{y ( x + 2 )} = 0, y (1) = 1