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Popular Calculus >

f^'(x)=sqrt(x)

Solution

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

Solution

f (x) = \frac{2}{3} x^{\frac{3}{2}} + c_{1}

Solution steps

f^{'} (x) = x

If

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

then

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

f (x) = \int x d x

\int x d x = \frac{2}{3} x^{\frac{3}{2}} + c_{1}

f (x) = \frac{2}{3} x^{\frac{3}{2}} + c_{1}

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the solution for f^'(x)=sqrt(x) ?
The solution for f^'(x)=sqrt(x) is f(x)= 2/3 x^{3/2}+c_{1}