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Popular >

derivative of (x+4^{2/3})

Solution

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

Solution

\frac{2}{3 ( x + 4 ) ^{\frac{1}{3}}}

Solution steps

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

Apply the chain rule:

\frac{2}{3 ( x + 4 ) ^{\frac{1}{3}}} \frac{d}{d x} (x + 4)

= \frac{2}{3 ( x + 4 ) ^{\frac{1}{3}}} \frac{d}{d x} (x + 4)

\frac{d}{d x} (x + 4) = 1

= \frac{2}{3 ( x + 4 ) ^{\frac{1}{3}}} \cdot 1

Simplify

= \frac{2}{3 ( x + 4 ) ^{\frac{1}{3}}}

Graph

Popular Examples

integral of 1/(-y^2+y+20)

\int \frac{1}{- y ^{2} + y + 20} d y

limit as x approaches 2 of (-1)/0

x \to 2 lim (\frac{- 1}{0})

tangent of y=(1+5x)^{10},(0,1)tangent of

y = (1 + 5 x)^{10}, (0, 1)

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

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

integral of ((2x+y+z)/((x+y)(x+z)))

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

Frequently Asked Questions (FAQ)

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