What is the derivative of f(x)=3e^{4x} ?

The derivative of f(x)=3e^{4x} is 12e^{4x}

What is the first derivative of f(x)=3e^{4x} ?

The first derivative of f(x)=3e^{4x} is 12e^{4x}

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derivative of

f (x) = 3 e^{4 x}

12 e^{4 x}

Solution steps

\frac{d}{d x} (3 e^{4 x})

Take the constant out:

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

= 3 \frac{d}{d x} (e^{4 x})

Apply the chain rule:

e^{4 x} \frac{d}{d x} (4 x)

= e^{4 x} \frac{d}{d x} (4 x)

\frac{d}{d x} (4 x) = 4

= 3 e^{4 x} \cdot 4

Simplify

= 12 e^{4 x}

y^{^{''}} + 25 y = 25 sec^{2} (5 x)

\frac{\partial}{\partial x} (x^{\frac{1}{2}} + y^{\frac{1}{3}})

\int_{81}^{v} \frac{1}{v} d v

\int (25 - x^{2}) d x

x^{2} sin^{7} (x) + x cos^{- 3} (x)

What is the derivative of f(x)=3e^{4x} ?
The derivative of f(x)=3e^{4x} is 12e^{4x}
What is the first derivative of f(x)=3e^{4x} ?
The first derivative of f(x)=3e^{4x} is 12e^{4x}