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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Graph

Popular Examples

integral of 7sin(x/3)

\int 7 sin (\frac{x}{3}) d x

y^'=(x^4y^3+2x^4)/(y^2)

y^{^{'}} = \frac{x ^{4} y ^{3} + 2 x ^{4}}{y ^{2}}

derivative of-1/8 cos(x/2)

\frac{d}{d x} (- \frac{1}{8} cos (\frac{x}{2}))

integral of x/6 e^{x^2}

\int \frac{x}{6} e^{x^{2}} d x

(\partial)/(\partial x)(sin(7y^2-7xy))

\frac{\partial}{\partial x} (sin (7 y^{2} - 7 x y))

Frequently Asked Questions (FAQ)

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