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}

Isolate

f^{'} (x) : f^{'} (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} (a^{x})

1 x

\frac{1}{( tan ( 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}