What is the derivative of 11sqrt(x)-6/x ?

The derivative of 11sqrt(x)-6/x is (11x^{3/2}+12)/(2x^{3/2)sqrt(x)}

What is the first derivative of 11sqrt(x)-6/x ?

The first derivative of 11sqrt(x)-6/x is (11x^{3/2}+12)/(2x^{3/2)sqrt(x)}

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\frac{d}{d x} (11 x - \frac{6}{x})

\frac{11 x ^{\frac{3}{2}} + 12}{2 x ^{\frac{3}{2}} x}

Solution steps

\frac{d}{d x} (11 x - \frac{6}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (11 x) - \frac{d}{d x} (\frac{6}{x})

\frac{d}{d x} (11 x) = \frac{11}{2 x}

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

= \frac{11}{2 x} - (- \frac{6}{x ^{2}})

Simplify

\frac{11}{2 x} - (- \frac{6}{x ^{2}}) : \frac{11 x ^{\frac{3}{2}} + 12}{2 x ^{\frac{3}{2}} x}

= \frac{11 x ^{\frac{3}{2}} + 12}{2 x ^{\frac{3}{2}} x}

\int t^{6} e^{- t^{7}} d t

\int \frac{1}{v ^{2} - 1} d v

\frac{d}{d x} (ln (x - 1))

\int \frac{1}{x ( 1 - 2 x )} d x

y = \frac{7}{ln ( x )}

What is the derivative of 11sqrt(x)-6/x ?
The derivative of 11sqrt(x)-6/x is (11x^{3/2}+12)/(2x^{3/2)sqrt(x)}
What is the first derivative of 11sqrt(x)-6/x ?
The first derivative of 11sqrt(x)-6/x is (11x^{3/2}+12)/(2x^{3/2)sqrt(x)}