What is the derivative of (x^3/(30)+5/(2x)) ?

The derivative of (x^3/(30)+5/(2x)) is (x^2)/(10)-5/(2x^2)

What is the first derivative of (x^3/(30)+5/(2x)) ?

The first derivative of (x^3/(30)+5/(2x)) is (x^2)/(10)-5/(2x^2)

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\frac{d}{d x} (\frac{x ^{3}}{30} + \frac{5}{2 x})

\frac{x ^{2}}{10} - \frac{5}{2 x ^{2}}

Solution steps

\frac{d}{d x} (\frac{x ^{3}}{30} + \frac{5}{2 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{3}}{30}) + \frac{d}{d x} (\frac{5}{2 x})

\frac{d}{d x} (\frac{x ^{3}}{30}) = \frac{x ^{2}}{10}

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

= \frac{x ^{2}}{10} - \frac{5}{2 x ^{2}}

\int cot^{3} (7 x) d x

R (a) = (5 a + 1)^{2}

\frac{d}{d x} (y \cdot e^{x})

\frac{d}{d x} (\frac{54}{( 1 + 3 x ) ^{3}})

y^{^{'}} = (1 - 2 t) y

What is the derivative of (x^3/(30)+5/(2x)) ?
The derivative of (x^3/(30)+5/(2x)) is (x^2)/(10)-5/(2x^2)
What is the first derivative of (x^3/(30)+5/(2x)) ?
The first derivative of (x^3/(30)+5/(2x)) is (x^2)/(10)-5/(2x^2)