What is the derivative of f(x)=5x^{2/3}-2x^3 ?

The derivative of f(x)=5x^{2/3}-2x^3 is (10-18x^{7/3})/(3x^{1/3)}

What is the first derivative of f(x)=5x^{2/3}-2x^3 ?

The first derivative of f(x)=5x^{2/3}-2x^3 is (10-18x^{7/3})/(3x^{1/3)}

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derivative of

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

\frac{10 - 18 x ^{\frac{7}{3}}}{3 x ^{\frac{1}{3}}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (5 x^{\frac{2}{3}}) = \frac{10}{3 x ^{\frac{1}{3}}}

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

= \frac{10}{3 x ^{\frac{1}{3}}} - 6 x^{2}

Simplify

\frac{10}{3 x ^{\frac{1}{3}}} - 6 x^{2} : \frac{10 - 18 x ^{\frac{7}{3}}}{3 x ^{\frac{1}{3}}}

= \frac{10 - 18 x ^{\frac{7}{3}}}{3 x ^{\frac{1}{3}}}

\frac{1}{( s - 2 ) ^{6}}

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

x \to 0 + lim (\frac{1}{x ^{5}})

\int \frac{x}{1 - x ^{4}} d x

\int (\frac{cos ( x )}{x}) d x

What is the derivative of f(x)=5x^{2/3}-2x^3 ?
The derivative of f(x)=5x^{2/3}-2x^3 is (10-18x^{7/3})/(3x^{1/3)}
What is the first derivative of f(x)=5x^{2/3}-2x^3 ?
The first derivative of f(x)=5x^{2/3}-2x^3 is (10-18x^{7/3})/(3x^{1/3)}