derivative of e^{5-3x}

解答

\frac{d}{d x} (e^{5 - 3 x})

- 3 e^{5 - 3 x}

求解步骤

\frac{d}{d x} (e^{5 - 3 x})

使用连锁律:

e^{5 - 3 x} \frac{d}{d x} (5 - 3 x)

= e^{5 - 3 x} \frac{d}{d x} (5 - 3 x)

\frac{d}{d x} (5 - 3 x) = - 3

= e^{5 - 3 x} (- 3)

化简

= - 3 e^{5 - 3 x}

\frac{\partial}{\partial x} (x (1 - x^{2} - y^{2}))

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

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

t an g e n t f (x) = x^{2} - x + 7, at x = 2

s l o p e x y - 5 y^{2} = 4 (12.2)