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

The solution for derivative of f(x)=e^{4x} is f(x)= 1/4 e^{4x}+c_{1}

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Find the Derivative - d/dx f(x)=e^(4x)

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

f (x) = \frac{1}{4} e^{4 x} + c_{1}

Solution steps

\frac{df}{d x} = e^{4 x}

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

f (x) = \int e^{4 x} d x

\int e^{4 x} d x = \frac{1}{4} e^{4 x} + c_{1}

f (x) = \frac{1}{4} e^{4 x} + c_{1}

\frac{d}{d x} y = 6 x

\frac{d}{d x} (7 x)

\frac{d y}{d x} y = tan (x)

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

cos (\frac{x}{( 2 )})

What is the solution for derivative of f(x)=e^{4x} ?
The solution for derivative of f(x)=e^{4x} is f(x)= 1/4 e^{4x}+c_{1}