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Popular >

derivative of (2x/3+(x+1)^{2/3})

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Popular Examples

1/5 (dy)/(dx)=(1/5)^2-1/5

\frac{1}{5} \frac{d y}{d x} = (\frac{1}{5})^{2} - \frac{1}{5}

derivative of y+xcos(y)

\frac{d}{d x} (y + x cos (y))

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\frac{5 x + 5}{x ^{2} - 4}

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\int \frac{e ^{l n (x)}}{x ^{2}} d x

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\frac{d}{d x} (\frac{x ^{2} - 5 x}{x + 1})

Frequently Asked Questions (FAQ)

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