What is the derivative of (x^2/(ln(x))+2x) ?

The derivative of (x^2/(ln(x))+2x) is (2xln(x)-x)/(ln^2(x))+2

What is the first derivative of (x^2/(ln(x))+2x) ?

The first derivative of (x^2/(ln(x))+2x) is (2xln(x)-x)/(ln^2(x))+2

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

\frac{2 x ln ( x ) - x}{ln ^{2} ( x )} + 2

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{2}}{ln ( x )}) + \frac{d}{d x} (2 x)

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

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

= \frac{2 x ln ( x ) - x}{ln ^{2} ( x )} + 2

\frac{d}{d x} (e^{- 12 x})

\int (1 - x - y)^{3} d y

(3, - 5), (5, - 5)

\int x^{2} ln^{2} (x) d x

y^{^{'}} + 3 x^{2} y = x e^{- x^{3}}

What is the derivative of (x^2/(ln(x))+2x) ?
The derivative of (x^2/(ln(x))+2x) is (2xln(x)-x)/(ln^2(x))+2
What is the first derivative of (x^2/(ln(x))+2x) ?
The first derivative of (x^2/(ln(x))+2x) is (2xln(x)-x)/(ln^2(x))+2