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Popular Calculus >

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

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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)}