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

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

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

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

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

12 x^{2} - \frac{1}{x ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2) = 0

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

= 12 x^{2} + 0 - \frac{1}{x ^{2}}

Simplify

= 12 x^{2} - \frac{1}{x ^{2}}

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