What is the derivative of 5+7/x ?

The derivative of 5+7/x is -7/(x^2)

What is the first derivative of 5+7/x ?

The first derivative of 5+7/x is -7/(x^2)

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derivative of

5 + \frac{7}{x}

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

Solution steps

\frac{d}{d x} (5 + \frac{7}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5) + \frac{d}{d x} (\frac{7}{x})

\frac{d}{d x} (5) = 0

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

= 0 - \frac{7}{x ^{2}}

Simplify

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

\int \frac{sin ( x )}{x} d x

\int_{6}^{8} \frac{90}{( x - 6 ) ^{3}} d x

\frac{d}{d x} ((x^{2} - 1) (x^{2} - 10 x + \frac{2}{x ^{2}}))

\int (ln (x))^{5} d x

t^{3} \frac{d y}{d t} + 3 t^{2} y = 8 cos (t), y (π) = 0

What is the derivative of 5+7/x ?
The derivative of 5+7/x is -7/(x^2)
What is the first derivative of 5+7/x ?
The first derivative of 5+7/x is -7/(x^2)