derivative of (x^2+sin(x)^3)

解答

\frac{d}{d x} ((x^{2} + sin (x))^{3})

3 (x^{2} + sin (x))^{2} (2 x + cos (x))

求解步骤

\frac{d}{d x} ((x^{2} + sin (x))^{3})

使用连锁律:

3 (x^{2} + sin (x))^{2} \frac{d}{d x} (x^{2} + sin (x))

= 3 (x^{2} + sin (x))^{2} \frac{d}{d x} (x^{2} + sin (x))

\frac{d}{d x} (x^{2} + sin (x)) = 2 x + cos (x)

= 3 (x^{2} + sin (x))^{2} (2 x + cos (x))

\int_{- 1}^{1} x^{3} - x d x

l a pl a ce t r an s f or m 1 e^{4 t}

\int \frac{x ^{2}}{( x ^{3} + 2 ) ^{2}} d x

t an g e n t \frac{6 x}{x + 7}, at x = 1

\frac{\partial}{\partial y} (x e^{\frac{y}{x}})