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Popular >

derivative of b+c(x-a^{2/3})

Solution

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

Solution

\frac{2 c}{3 ( x - a ) ^{\frac{1}{3}}}

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d b}{d x} + \frac{d}{d x} (c (x - a)^{\frac{2}{3}})

\frac{d b}{d x} = 0

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

= 0 + \frac{2 c}{3 ( x - a ) ^{\frac{1}{3}}}

Simplify

= \frac{2 c}{3 ( x - a ) ^{\frac{1}{3}}}

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Frequently Asked Questions (FAQ)

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