What is the derivative of 5e^{3x} ?

The derivative of 5e^{3x} is 15e^{3x}

What is the first derivative of 5e^{3x} ?

The first derivative of 5e^{3x} is 15e^{3x}

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derivative of

5 e^{3 x}

15 e^{3 x}

Solution steps

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

Take the constant out:

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

= 5 \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

= 5 e^{3 x} \cdot 3

Simplify

= 15 e^{3 x}

n \to \infty lim (tan (n))

\frac{\partial}{\partial y} (4 x y^{2} + x^{2})

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

\int \frac{x ^{5}}{1 - x ^{6}} d x

\frac{d}{d x} (24 x^{\frac{1}{2}})

What is the derivative of 5e^{3x} ?
The derivative of 5e^{3x} is 15e^{3x}
What is the first derivative of 5e^{3x} ?
The first derivative of 5e^{3x} is 15e^{3x}