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Popular >

f^'(x)=e^x

Solution

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

Solution

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

Solution steps

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

If

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

then

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

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

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

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

Graph

Popular Examples

integral of-6sqrt(x)e^{sqrt(x)}

\int - 6 x e^{x} d x

integral of (e^x(e^x+1))/((e^x-1)^3)

\int \frac{e ^{x} ( e ^{x} + 1 )}{( e ^{x} - 1 ) ^{3}} d x

(dy)/(dx)=3(2-y)

\frac{d y}{d x} = 3 (2 - y)

(dy)/(dx)=(xy+y^2)/(x^2)

\frac{d y}{d x} = \frac{x y + y ^{2}}{x ^{2}}

(dy)/(dx)=16\sqrt[4]{4x^4+4}

\frac{d y}{d x} = 16 4 4 x^{4} + 4

Frequently Asked Questions (FAQ)

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