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

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

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

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

e^{3 x} \cdot 3

Solution steps

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

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (3 x) = 3

= e^{3 x} \cdot 3

x \to - 9 + lim (\frac{6 x + 54}{x + 9})

9 x^{4} - 9 x^{2}, 10 x^{2}

\frac{d}{d x} ((\frac{1}{x ^{2}} - \frac{7}{x ^{4}}) (x + 3 x^{3}))

3 x - 3 x

\int \frac{2 1 + x ^{4}}{x ^{3}} d x

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