What is the derivative of e^{5x}*5 ?

The derivative of e^{5x}*5 is 25e^{5x}

What is the first derivative of e^{5x}*5 ?

The first derivative of e^{5x}*5 is 25e^{5x}

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

25 e^{5 x}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= 5 e^{5 x} \cdot 5

Simplify

= 25 e^{5 x}

u + 1 (1 - 8 u^{2})^{7}

e^{- b t}

x \to - 2 - lim (\frac{1 - x}{x ^{3} + 8})

\frac{d}{d x} ((1 + i)^{x})

\frac{\partial}{\partial x} ((4 x + 8) ln (6 x y))

What is the derivative of e^{5x}*5 ?
The derivative of e^{5x}*5 is 25e^{5x}
What is the first derivative of e^{5x}*5 ?
The first derivative of e^{5x}*5 is 25e^{5x}