What is the solution for derivative of f(x)=e^{6x} ?

The solution for derivative of f(x)=e^{6x} is f(x)= 1/6 e^{6x}+c_{1}

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Find the Derivative - d/dx f(x)=e^(6x)

\frac{d}{d x} f (x) = e^{6 x}

f (x) = \frac{1}{6} e^{6 x} + c_{1}

Solution steps

\frac{df}{d x} = e^{6 x}

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

then

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

f (x) = \int e^{6 x} d x

\int e^{6 x} d x = \frac{1}{6} e^{6 x} + c_{1}

f (x) = \frac{1}{6} e^{6 x} + c_{1}

f (x) = sin (2 x)

f (x) = \frac{1}{( x ^{3} )}

\frac{d}{d x} (e^{\frac{1}{x}})

\frac{d}{d x} (a^{x})

1 x

What is the solution for derivative of f(x)=e^{6x} ?
The solution for derivative of f(x)=e^{6x} is f(x)= 1/6 e^{6x}+c_{1}