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

The derivative of f(x)=4e^{4x} is 16e^{4x}

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

The first derivative of f(x)=4e^{4x} is 16e^{4x}

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derivative of

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

16 e^{4 x}

Solution steps

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

Take the constant out:

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

= 4 \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

= 4 e^{4 x} \cdot 4

Simplify

= 16 e^{4 x}

\int 2 (1 - cos (x)) d x

\int \frac{1}{4 x - 1} d x

2 y^{^{''}} - 8 y = 0, y (- 2) = 2, y^{^{'}} (- 2) = 1

y^{^{''}} + 3 y = sin (t)

f (x) = ln (x + x^{2} - 1)

What is the derivative of f(x)=4e^{4x} ?
The derivative of f(x)=4e^{4x} is 16e^{4x}
What is the first derivative of f(x)=4e^{4x} ?
The first derivative of f(x)=4e^{4x} is 16e^{4x}