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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x - 1) = 1

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

Simplify

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

Popular Examples

(x^2+y^2)dx+(2xy)dy=0

(x^{2} + y^{2}) d x + (2 x y) d y = 0

y^'=(x^2-y^2)/(xy),y(2)=5

y^{^{'}} = \frac{x ^{2} - y ^{2}}{x y}, y (2) = 5

(\partial)/(\partial y)(e^{xyz^4}yz^4)

\frac{\partial}{\partial y} (e^{x y z^{4}} y z^{4})

(\partial)/(\partial y)(x^2-2xy+2y^2)

\frac{\partial}{\partial y} (x^{2} - 2 x y + 2 y^{2})

tangent of f(x)=x^3-4x,(2,0)tangent of

f (x) = x^{3} - 4 x, (2, 0)

Frequently Asked Questions (FAQ)

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