What is the derivative of f(x)=3e^{3x} ?

The derivative of f(x)=3e^{3x} is 9e^{3x}

What is the first derivative of f(x)=3e^{3x} ?

The first derivative of f(x)=3e^{3x} is 9e^{3x}

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derivative of

f (x) = 3 e^{3 x}

9 e^{3 x}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= 3 e^{3 x} \cdot 3

Simplify

= 9 e^{3 x}

\frac{d}{d x} (x^{(\frac{4}{5})} (x - 4)^{2})

\frac{d y}{d x} = \frac{x}{4 + x ^{2}}

\frac{d}{d x} (2^{x} ln (x))

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

f (x) = e^{x^{2} + 1}

What is the derivative of f(x)=3e^{3x} ?
The derivative of f(x)=3e^{3x} is 9e^{3x}
What is the first derivative of f(x)=3e^{3x} ?
The first derivative of f(x)=3e^{3x} is 9e^{3x}