What is the derivative of 2x^3+1/(24x) ?

The derivative of 2x^3+1/(24x) is 6x^2-1/(24x^2)

What is the first derivative of 2x^3+1/(24x) ?

The first derivative of 2x^3+1/(24x) is 6x^2-1/(24x^2)

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\frac{d}{d x} (2 x^{3} + \frac{1}{24 x})

6 x^{2} - \frac{1}{24 x ^{2}}

Solution steps

\frac{d}{d x} (2 x^{3} + \frac{1}{24 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{3}) + \frac{d}{d x} (\frac{1}{24 x})

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

\frac{d}{d x} (\frac{1}{24 x}) = - \frac{1}{24 x ^{2}}

= 6 x^{2} - \frac{1}{24 x ^{2}}

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

\frac{- 2 ( x - 9 )}{x ^{4}}

\int \frac{3 x + 12}{x ^{3} + 4 x ^{2} + 4 x} d x

f (x) = \frac{1}{2 x}

\int_{- 1}^{2} 3 x^{2} + 6 x d x

What is the derivative of 2x^3+1/(24x) ?
The derivative of 2x^3+1/(24x) is 6x^2-1/(24x^2)
What is the first derivative of 2x^3+1/(24x) ?
The first derivative of 2x^3+1/(24x) is 6x^2-1/(24x^2)