What is (\partial)/(\partial x)(3e^{5x}) ?

The answer to (\partial)/(\partial x)(3e^{5x}) is 15e^{5x}

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(\partial)/(\partial x)(3e^{5x})

\frac{\partial}{\partial x} (3 e^{5 x})

15 e^{5 x}

Solution steps

\frac{\partial}{\partial x} (3 e^{5 x})

Take the constant out:

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

= 3 \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

= 3 e^{5 x} \cdot 5

Simplify

= 15 e^{5 x}

y^{^{''}} - 2 y + y = 12 e^{3 t}

n = 0 \sum \infty \frac{1}{2 n + 2}

(2 + x) y^{^{'}} = 9 y

f (x) = 3 x + 55, at x = 3

x \to + 2 lim (\frac{g ( x )}{h ( x )})

What is (\partial)/(\partial x)(3e^{5x}) ?
The answer to (\partial)/(\partial x)(3e^{5x}) is 15e^{5x}