What is the derivative of 2e^{7x} ?

The derivative of 2e^{7x} is 14e^{7x}

What is the first derivative of 2e^{7x} ?

The first derivative of 2e^{7x} is 14e^{7x}

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\frac{d}{d x} (2 e^{7 x})

14 e^{7 x}

Solution steps

\frac{d}{d x} (2 e^{7 x})

Take the constant out:

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

= 2 \frac{d}{d x} (e^{7 x})

Apply the chain rule:

e^{7 x} \frac{d}{d x} (7 x)

= e^{7 x} \frac{d}{d x} (7 x)

\frac{d}{d x} (7 x) = 7

= 2 e^{7 x} \cdot 7

Simplify

= 14 e^{7 x}

\int \frac{1}{5 - 4 sin ( x ) + 3 cos ( x )} d x

- 4 y^{^{'}} + y = 1

e^{x}, - x + 1, x = 1

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

What is the derivative of 2e^{7x} ?
The derivative of 2e^{7x} is 14e^{7x}
What is the first derivative of 2e^{7x} ?
The first derivative of 2e^{7x} is 14e^{7x}