What is the derivative of 4x^3+1/(x^2) ?

The derivative of 4x^3+1/(x^2) is 12x^2-2/(x^3)

What is the first derivative of 4x^3+1/(x^2) ?

The first derivative of 4x^3+1/(x^2) is 12x^2-2/(x^3)

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Popular >

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

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

= 12 x^{2} - \frac{2}{x ^{3}}

x \to 0 lim (- x^{8})

\frac{d}{d x} ((\frac{x + 4}{x - 4})^{5})

\int \frac{1}{x} x d x

\int (1 + cos (2 x)) d x

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

What is the derivative of 4x^3+1/(x^2) ?
The derivative of 4x^3+1/(x^2) is 12x^2-2/(x^3)
What is the first derivative of 4x^3+1/(x^2) ?
The first derivative of 4x^3+1/(x^2) is 12x^2-2/(x^3)