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Popular >

f^'(x)=3^x

Solution

f^{^{'}} (x) = 3^{x}

Solution

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

Solution steps

f^{'} (x) = 3^{x}

If

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

then

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

f (x) = \int 3^{x} d x

\int 3^{x} d x = \frac{3 ^{x}}{ln ( 3 )} + c_{1}

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

Popular Examples

integral of+(8x+3sin(x))^2

\int + (8 x + 3 sin (x))^{2} d x

derivative of 4x^2+1 derivative of

4 x^{2} + 1

4y^{''}-4y^'+10y=0

4 y^{^{''}} - 4 y^{^{'}} + 10 y = 0

integral of x/((x^2+1)(x-1))

\int \frac{x}{( x ^{2} + 1 ) ( x - 1 )} d x

derivative of x^{(x^x})

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

Frequently Asked Questions (FAQ)

What is the solution for f^'(x)=3^x ?
The solution for f^'(x)=3^x is f(x)=(3^x)/(ln(3))+c_{1}