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Popular >

derivative of x^{4/5}-x^{2/3}

Solution

\frac{d}{d x} (x^{\frac{4}{5}} - x^{\frac{2}{3}})

Solution

\frac{4}{5 x ^{\frac{1}{5}}} - \frac{2}{3 x ^{\frac{1}{3}}}

Solution steps

\frac{d}{d x} (x^{\frac{4}{5}} - x^{\frac{2}{3}})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{\frac{4}{5}}) - \frac{d}{d x} (x^{\frac{2}{3}})

\frac{d}{d x} (x^{\frac{4}{5}}) = \frac{4}{5 x ^{\frac{1}{5}}}

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

= \frac{4}{5 x ^{\frac{1}{5}}} - \frac{2}{3 x ^{\frac{1}{3}}}

Popular Examples

integral of (2x)/(x+3)

\int \frac{2 x}{x + 3} d x

derivative of ln((5x^3sin(-5x)/(3-x)))

\frac{d}{d x} (ln (\frac{5 x ^{3} sin ( - 5 x )}{3 - x}))

integral from-1 to 2 of (x-2|x|)

\int_{- 1}^{2} (x - 2 ∣ x ∣) d x

integral of (3x^2+8)/(x^3+8x)

\int \frac{3 x ^{2} + 8}{x ^{3} + 8 x} d x

integral of (1/x+2y^2x)

\int (\frac{1}{x} + 2 y^{2} x) d x

Frequently Asked Questions (FAQ)

What is the derivative of x^{4/5}-x^{2/3} ?
The derivative of x^{4/5}-x^{2/3} is 4/(5x^{1/5)}-2/(3x^{1/3)}
What is the first derivative of x^{4/5}-x^{2/3} ?
The first derivative of x^{4/5}-x^{2/3} is 4/(5x^{1/5)}-2/(3x^{1/3)}