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Popular >

derivative of \sqrt[3]{x^2}-2sqrt(x)+5

Solution

\frac{d}{d x} (3 x^{2} - 2 x + 5)

Solution

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

Solution steps

\frac{d}{d x} (3 x^{2} - 2 x + 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (2 x) + \frac{d}{d x} (5)

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

\frac{d}{d x} (2 x) = \frac{1}{x}

\frac{d}{d x} (5) = 0

= \frac{2}{3 x ^{\frac{1}{3}}} - \frac{1}{x} + 0

Simplify

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

Graph

Popular Examples

taylor 1/(3x+5)taylor

\frac{1}{3 x + 5}

integral from 0 to 1 of x^2e^{-x^2}

\int_{0}^{1} x^{2} e^{- x^{2}} d x

(\partial ^2)/(\partial x^2)(arctan(y/x))

\frac{\partial ^{2}}{\partial x ^{2}} (arctan (\frac{y}{x}))

integral of (x^2-1)/(sqrt(x))

\int \frac{x ^{2} - 1}{x} d x

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

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

Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[3]{x^2}-2sqrt(x)+5 ?
The derivative of \sqrt[3]{x^2}-2sqrt(x)+5 is 2/(3x^{1/3)}-1/(sqrt(x))
What is the first derivative of \sqrt[3]{x^2}-2sqrt(x)+5 ?
The first derivative of \sqrt[3]{x^2}-2sqrt(x)+5 is 2/(3x^{1/3)}-1/(sqrt(x))