What is the derivative of-7sqrt(x)+3/(x^6) ?

The derivative of-7sqrt(x)+3/(x^6) is -(7x^{13/2}+36)/(2x^{13/2)sqrt(x)}

What is the first derivative of-7sqrt(x)+3/(x^6) ?

The first derivative of-7sqrt(x)+3/(x^6) is -(7x^{13/2}+36)/(2x^{13/2)sqrt(x)}

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derivative of

- 7 x + \frac{3}{x ^{6}}

- \frac{7 x ^{\frac{13}{2}} + 36}{2 x ^{\frac{13}{2}} x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (7 x) = \frac{7}{2 x}

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

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

Simplify

- \frac{7}{2 x} - \frac{18}{x ^{7}} : - \frac{7 x ^{\frac{13}{2}} + 36}{2 x ^{\frac{13}{2}} x}

= - \frac{7 x ^{\frac{13}{2}} + 36}{2 x ^{\frac{13}{2}} x}

\frac{d y}{d x} = e^{3 x - 2 y}

\frac{d}{d x} (f (x) - 4 x + 1)

n = 1 \sum \infty (\frac{10}{11})^{n}

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

\frac{d}{d x} (e^{(x - 1)})

What is the derivative of-7sqrt(x)+3/(x^6) ?
The derivative of-7sqrt(x)+3/(x^6) is -(7x^{13/2}+36)/(2x^{13/2)sqrt(x)}
What is the first derivative of-7sqrt(x)+3/(x^6) ?
The first derivative of-7sqrt(x)+3/(x^6) is -(7x^{13/2}+36)/(2x^{13/2)sqrt(x)}