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Popular >

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

Solution

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

Solution

- \frac{3}{2 x} - \frac{4}{3 x ^{\frac{1}{3}}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2 3 x^{2}) = \frac{4}{3 x ^{\frac{1}{3}}}

= - \frac{3}{2 x} - \frac{4}{3 x ^{\frac{1}{3}}}

Graph

Popular Examples

derivative of x/(sqrt(x+9))

\frac{d}{d x} (\frac{x}{x + 9})

derivative of (x^2-9^2)

\frac{d}{d x} ((x^{2} - 9)^{2})

slope of (-5,5),(5,-2)slope

(- 5, 5), (5, - 2)

limit as x approaches 0+of x^{9/x}

x \to 0 + lim (x^{\frac{9}{x}})

tangent of f(x)=x^2+9 tangent of

f (x) = x^{2} + 9

Frequently Asked Questions (FAQ)

What is the derivative of-3sqrt(x)-2\sqrt[3]{x^2} ?
The derivative of-3sqrt(x)-2\sqrt[3]{x^2} is -3/(2sqrt(x))-4/(3x^{1/3)}
What is the first derivative of-3sqrt(x)-2\sqrt[3]{x^2} ?
The first derivative of-3sqrt(x)-2\sqrt[3]{x^2} is -3/(2sqrt(x))-4/(3x^{1/3)}