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Popular >

derivative of 3/8 x^{2/3}

Solution

\frac{d}{d x} (\frac{3}{8} x^{\frac{2}{3}})

Solution

\frac{1}{4 x ^{\frac{1}{3}}}

Solution steps

\frac{d}{d x} (\frac{3}{8} x^{\frac{2}{3}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{3}{8} \frac{d}{d x} (x^{\frac{2}{3}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{3}{8} \cdot \frac{2}{3} x^{\frac{2}{3} - 1}

Simplify

\frac{3}{8} \cdot \frac{2}{3} x^{\frac{2}{3} - 1} : \frac{1}{4 x ^{\frac{1}{3}}}

= \frac{1}{4 x ^{\frac{1}{3}}}

Popular Examples

derivative of 2/(sqrt(x-3))

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

derivative of ((x^2+1/(x^2-1))^3)

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

(\partial)/(\partial x)(e^{x+7y})

\frac{\partial}{\partial x} (e^{x + 7 y})

derivative of y=(x^2+7x+2)^3 derivative of

y = (x^{2} + 7 x + 2)^{3}

y^'=8*(2+y)/x ,y(1)=8

y^{^{'}} = 8 \cdot \frac{2 + y}{x}, y (1) = 8

Frequently Asked Questions (FAQ)

What is the derivative of 3/8 x^{2/3} ?
The derivative of 3/8 x^{2/3} is 1/(4x^{1/3)}
What is the first derivative of 3/8 x^{2/3} ?
The first derivative of 3/8 x^{2/3} is 1/(4x^{1/3)}