What is the derivative of 2e^{5x} ?

The derivative of 2e^{5x} is 10e^{5x}

What is the first derivative of 2e^{5x} ?

The first derivative of 2e^{5x} is 10e^{5x}

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

10 e^{5 x}

Solution steps

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

Take the constant out:

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

= 2 \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

= 2 e^{5 x} \cdot 5

Simplify

= 10 e^{5 x}

\int 2 x y + 2 x d x

t \to 0 lim (\frac{1 - e ^{- 2 t}}{t})

f (t) = sin^{2} (t)

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

\int \frac{13}{x ^{2} - 1} d x

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