derivative of 3*5^x

解答

\frac{d}{d x} (3 \cdot 5^{x})

3 \cdot 5^{x} ln (5)

求解步骤

\frac{d}{d x} (3 \cdot 5^{x})

将常数提出:

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

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

使用指数求导法则:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= 3 \cdot 5^{x} ln (5)

x \to 3 lim (2 x^{3} - 10 x - 8)

x \to 0 lim (\frac{x ^{2} - 9}{x - 3})

x \to 0 lim (\frac{( 3 + x ) ^{2} - 9}{x})

4 x^{2} y^{^{''}} + 17 y = 0

l a pl a ce t r an s f or m f (, at)