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Popular >

f^'(x)=xe^{x^2}

Solution

f^{^{'}} (x) = x e^{x^{2}}

Solution

f (x) = \frac{1}{2} e^{x^{2}} + c_{1}

Solution steps

f^{'} (x) = x e^{x^{2}}

If

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

then

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

f (x) = \int x e^{x^{2}} d x

\int x e^{x^{2}} d x = \frac{1}{2} e^{x^{2}} + c_{1}

f (x) = \frac{1}{2} e^{x^{2}} + c_{1}

Graph

Popular Examples

(\partial)/(\partial x)(x+6y)

\frac{\partial}{\partial x} (x + 6 y)

integral of 4e^7

\int 4 e^{7} d x

integral of 6x^4e^{-x}

\int 6 x^{4} e^{- x} d x

tangent of f(x)=x^3+x^2+6/x ,\at x=1 tangent of

f (x) = x^{3} + x^{2} + \frac{6}{x}, at x = 1

slope of (-4,6),(10,-1)slope

(- 4, 6), (10, - 1)

Frequently Asked Questions (FAQ)

What is the solution for f^'(x)=xe^{x^2} ?
The solution for f^'(x)=xe^{x^2} is f(x)= 1/2 e^{x^2}+c_{1}