What is the derivative of 4sqrt(x)-3/(x^6) ?

The derivative of 4sqrt(x)-3/(x^6) is (2(x^{13/2}+9))/(x^{13/2)sqrt(x)}

What is the first derivative of 4sqrt(x)-3/(x^6) ?

The first derivative of 4sqrt(x)-3/(x^6) is (2(x^{13/2}+9))/(x^{13/2)sqrt(x)}

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derivative of

4 x - \frac{3}{x ^{6}}

\frac{2 ( x ^{\frac{13}{2}} + 9 )}{x ^{\frac{13}{2}} x}

Solution steps

\frac{d}{d x} (4 x - \frac{3}{x ^{6}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x) - \frac{d}{d x} (\frac{3}{x ^{6}})

\frac{d}{d x} (4 x) = \frac{2}{x}

\frac{d}{d x} (\frac{3}{x ^{6}}) = - \frac{18}{x ^{7}}

= \frac{2}{x} - (- \frac{18}{x ^{7}})

Simplify

\frac{2}{x} - (- \frac{18}{x ^{7}}) : \frac{2 ( x ^{\frac{13}{2}} + 9 )}{x ^{\frac{13}{2}} x}

= \frac{2 ( x ^{\frac{13}{2}} + 9 )}{x ^{\frac{13}{2}} x}

\int 2 x^{2} - 4 d x

\int \frac{4}{x + 4 + x} d x

x \to - 1 lim (4 x^{3} - 2 m)

x \to 0 - lim (\frac{x ^{2}}{2} - \frac{1}{x})

\int \frac{1}{sec ( x ) + 1} d x

What is the derivative of 4sqrt(x)-3/(x^6) ?
The derivative of 4sqrt(x)-3/(x^6) is (2(x^{13/2}+9))/(x^{13/2)sqrt(x)}
What is the first derivative of 4sqrt(x)-3/(x^6) ?
The first derivative of 4sqrt(x)-3/(x^6) is (2(x^{13/2}+9))/(x^{13/2)sqrt(x)}