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

The derivative of 7e^{7x} is 49e^{7x}

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

The first derivative of 7e^{7x} is 49e^{7x}

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

49 e^{7 x}

Solution steps

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

Take the constant out:

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

= 7 \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

= 7 e^{7 x} \cdot 7

Simplify

= 49 e^{7 x}

\int 16 x d x

4 e^{t}

\int 2 π d x

n = 0 \sum \infty \frac{n}{n ^{3} + 1}

\frac{\partial}{\partial x} (∣ x y ∣^{n})

What is the derivative of 7e^{7x} ?
The derivative of 7e^{7x} is 49e^{7x}
What is the first derivative of 7e^{7x} ?
The first derivative of 7e^{7x} is 49e^{7x}