derivative of cos(pixpi)

解答

\frac{d}{d x} (cos (π x) π)

- π^{2} sin (π x)

求解步骤

\frac{d}{d x} (cos (π x) π)

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

= π \frac{d}{d x} (cos (π x))

使用连锁律:

- sin (π x) \frac{d}{d x} (π x)

= - sin (π x) \frac{d}{d x} (π x)

\frac{d}{d x} (π x) = π

= π (- sin (π x) π)

化简

π (- sin (π x) π) : - π^{2} sin (π x)

= - π^{2} sin (π x)

\int \frac{1}{e ^{a x}} d x

d er i v a t i v e f (x) = 5 x - 2

d er i v a t i v e f (x) = \frac{5 x ^{3} + 1}{2 x - 3}

\int \frac{5 t - 3}{t + 1} d t

n = 0 \sum \infty \frac{1}{( 2 n + 1 ) !}