What is the derivative of f(x)=-7sqrt(x)-2/(x^7) ?

The derivative of f(x)=-7sqrt(x)-2/(x^7) is (7(-x^{15/2}+4))/(2x^{15/2)sqrt(x)}

What is the first derivative of f(x)=-7sqrt(x)-2/(x^7) ?

The first derivative of f(x)=-7sqrt(x)-2/(x^7) is (7(-x^{15/2}+4))/(2x^{15/2)sqrt(x)}

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derivative of

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

\frac{7 ( - x ^{\frac{15}{2}} + 4 )}{2 x ^{\frac{15}{2}} x}

Solution steps

\frac{d}{d x} (- 7 x - \frac{2}{x ^{7}})

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{2}{x ^{7}}) = - \frac{14}{x ^{8}}

= - \frac{7}{2 x} - (- \frac{14}{x ^{8}})

Simplify

- \frac{7}{2 x} - (- \frac{14}{x ^{8}}) : \frac{7 ( - x ^{\frac{15}{2}} + 4 )}{2 x ^{\frac{15}{2}} x}

= \frac{7 ( - x ^{\frac{15}{2}} + 4 )}{2 x ^{\frac{15}{2}} x}

\frac{\partial}{\partial x} (arctan (y))

x \to 2 lim (π)

\frac{d}{d x} (- sin (x) + cos (x))

f (x) = (6 x^{2} + 4) e^{x}

\int \frac{x}{x ^{2} + 6 x + 11} d x

What is the derivative of f(x)=-7sqrt(x)-2/(x^7) ?
The derivative of f(x)=-7sqrt(x)-2/(x^7) is (7(-x^{15/2}+4))/(2x^{15/2)sqrt(x)}
What is the first derivative of f(x)=-7sqrt(x)-2/(x^7) ?
The first derivative of f(x)=-7sqrt(x)-2/(x^7) is (7(-x^{15/2}+4))/(2x^{15/2)sqrt(x)}