What is the derivative of f(x)=5e^{2x} ?

The derivative of f(x)=5e^{2x} is 10e^{2x}

What is the first derivative of f(x)=5e^{2x} ?

The first derivative of f(x)=5e^{2x} is 10e^{2x}

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derivative of

f (x) = 5 e^{2 x}

10 e^{2 x}

Solution steps

\frac{d}{d x} (5 e^{2 x})

Take the constant out:

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

= 5 \frac{d}{d x} (e^{2 x})

Apply the chain rule:

e^{2 x} \frac{d}{d x} (2 x)

= e^{2 x} \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

= 5 e^{2 x} \cdot 2

Simplify

= 10 e^{2 x}

\frac{d y}{d x} = \frac{e ^{x}}{8 + e ^{x}}

\frac{d}{d x} (e^{6 x^{2}})

\int_{0}^{5} \frac{1}{x ^{\frac{14}{15}}} d x

x^{^{''}} - 4 x = 0

\int sin (t) \cdot t d t

What is the derivative of f(x)=5e^{2x} ?
The derivative of f(x)=5e^{2x} is 10e^{2x}
What is the first derivative of f(x)=5e^{2x} ?
The first derivative of f(x)=5e^{2x} is 10e^{2x}