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

The answer to (\partial)/(\partial x)(3e^{3x}) is 9e^{3x}

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

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

9 e^{3 x}

Solution steps

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

Take the constant out:

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

= 3 \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

= 3 e^{3 x} \cdot 3

Simplify

= 9 e^{3 x}

y^{^{'}} = y (1 - y), y (0) = 8

x cos (x) - sin (x)

\frac{1}{6} π r^{3}

\frac{d}{d x} (ln (sinh (9 x)))

\frac{d y}{d x} = \frac{y ^{2} - 1}{x ^{2} - 1}, y (8) = 8

What is (\partial)/(\partial x)(3e^{3x}) ?
The answer to (\partial)/(\partial x)(3e^{3x}) is 9e^{3x}