What is (\partial)/(\partial x)(4e^{5x}) ?

The answer to (\partial)/(\partial x)(4e^{5x}) is 20e^{5x}

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(\partial)/(\partial x)(4e^{5x})

\frac{\partial}{\partial x} (4 e^{5 x})

20 e^{5 x}

Solution steps

\frac{\partial}{\partial x} (4 e^{5 x})

Take the constant out:

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

= 4 \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

= 4 e^{5 x} \cdot 5

Simplify

= 20 e^{5 x}

4 x + 6

\int x^{4} - x d x

- y^{^{''}} + y^{^{'}} + y = 0

\frac{d}{d x} (\frac{x ^{2} - 3 x + 2}{2 x ^{2} + 5 x - 1})

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

What is (\partial)/(\partial x)(4e^{5x}) ?
The answer to (\partial)/(\partial x)(4e^{5x}) is 20e^{5x}