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Popular >

f^'(x)=x^{2/3}

Solution

f^{^{'}} (x) = x^{\frac{2}{3}}

Solution

f (x) = \frac{3}{5} x^{\frac{5}{3}} + c_{1}

Solution steps

f^{'} (x) = x^{\frac{2}{3}}

If

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

then

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

f (x) = \int x^{\frac{2}{3}} d x

\int x^{\frac{2}{3}} d x = \frac{3}{5} x^{\frac{5}{3}} + c_{1}

f (x) = \frac{3}{5} x^{\frac{5}{3}} + c_{1}

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f (x) = x^{2} + 45, at x = 2

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\int_{0}^{\frac{π}{2}} sin^{7} (x) d x

Frequently Asked Questions (FAQ)

What is the solution for f^'(x)=x^{2/3} ?
The solution for f^'(x)=x^{2/3} is f(x)= 3/5 x^{5/3}+c_{1}