What is (\partial)/(\partial x)(7e^{5x}) ?

The answer to (\partial)/(\partial x)(7e^{5x}) is 35e^{5x}

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(\partial)/(\partial x)(7e^{5x})

\frac{\partial}{\partial x} (7 e^{5 x})

35 e^{5 x}

Solution steps

\frac{\partial}{\partial x} (7 e^{5 x})

Take the constant out:

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

= 7 \frac{\partial}{\partial x} (e^{5 x})

Apply the chain rule:

e^{5 x} \frac{\partial}{\partial x} (5 x)

= e^{5 x} \frac{\partial}{\partial x} (5 x)

\frac{\partial}{\partial x} (5 x) = 5

= 7 e^{5 x} \cdot 5

Simplify

= 35 e^{5 x}

f (x) = e^{x^{2} - 4}

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

ln (x + e)

\frac{\partial}{\partial v} (13.12 + 0.6215 T - 11.37 v^{0.16} + 0.3965 T v^{0.16})

\frac{\partial}{\partial x} (x^{2} + y^{2} - 4 y)

What is (\partial)/(\partial x)(7e^{5x}) ?
The answer to (\partial)/(\partial x)(7e^{5x}) is 35e^{5x}