What is the derivative of f(x)=e^{5x} ?

The derivative of f(x)=e^{5x} is e^{5x}*5

What is the first derivative of f(x)=e^{5x} ?

The first derivative of f(x)=e^{5x} is e^{5x}*5

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derivative of

f (x) = e^{5 x}

e^{5 x} \cdot 5

Solution steps

\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

= e^{5 x} \cdot 5

\int 2 x^{3} 1 + x^{2} d x

\frac{d y}{d t} = \frac{1}{( y + 2 ) ^{2}}, y (0) = 1

y = \frac{1}{1 + x ^{2}}, (1, \frac{1}{2})

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

\frac{d}{d x} ((x^{2} - 5 x)^{3})

What is the derivative of f(x)=e^{5x} ?
The derivative of f(x)=e^{5x} is e^{5x}*5
What is the first derivative of f(x)=e^{5x} ?
The first derivative of f(x)=e^{5x} is e^{5x}*5