derivative of cos(e^{x^2})

解答

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

- sin (e^{x^{2}}) e^{x^{2}} \cdot 2 x

求解步骤

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

使用连锁律:

- sin (e^{x^{2}}) \frac{d}{d x} (e^{x^{2}})

= - sin (e^{x^{2}}) \frac{d}{d x} (e^{x^{2}})

\frac{d}{d x} (e^{x^{2}}) = e^{x^{2}} \cdot 2 x

= - sin (e^{x^{2}}) e^{x^{2}} \cdot 2 x

\int \frac{sin ( x )}{2 x} d x

p a r i t y, x

d er i v a t i v e f (1) = 9 + \frac{3}{x}

d er i v a t i v e f (x) = 3 x + 8

\frac{d}{d x} (\frac{4 - x ^{2}}{3 x - 2})