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Popular >

f^'(x)= 1/(3x^{2/3)}

Solution

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

Solution

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

Solution steps

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

If

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

then

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

f (x) = \int \frac{1}{3 x ^{\frac{2}{3}}} d x

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

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

Graph

Popular Examples

integral of 3/56 x^2

\int \frac{3}{56} x^{2} d x

derivative of y=7(x^3+x^2) 2/3 derivative of

y = 7 (x^{3} + x^{2}) \frac{2}{3}

derivative of 10(1.1^{x/2})

\frac{d}{d x} (10 (1. 1^{\frac{x}{2}}))

derivative of (x-1^2(2x+3))

\frac{d}{d x} ((x - 1)^{2} (2 x + 3))

integral from-3 to-1 of 1/(x^2+6x+13)

\int_{- 3}^{- 1} \frac{1}{x ^{2} + 6 x + 13} d x

Frequently Asked Questions (FAQ)

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