What is (\partial)/(\partial x)(2e^{7x}) ?

The answer to (\partial)/(\partial x)(2e^{7x}) is 14e^{7x}

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(\partial)/(\partial x)(2e^{7x})

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

14 e^{7 x}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= 2 e^{7 x} \cdot 7

Simplify

= 14 e^{7 x}

\int 21 z^{3} e^{z} d z

\int_{0}^{2} y^{3} d y

\frac{1}{4 s}

\frac{\partial}{\partial x} (\frac{z}{y + z})

n = 0 \sum \infty (1 - x)^{n}

What is (\partial)/(\partial x)(2e^{7x}) ?
The answer to (\partial)/(\partial x)(2e^{7x}) is 14e^{7x}