What is the derivative of 3/x+5 ?

The derivative of 3/x+5 is -3/(x^2)

What is the first derivative of 3/x+5 ?

The first derivative of 3/x+5 is -3/(x^2)

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\frac{d}{d x} (\frac{3}{x} + 5)

- \frac{3}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{3}{x} + 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{3}{x}) + \frac{d}{d x} (5)

\frac{d}{d x} (\frac{3}{x}) = - \frac{3}{x ^{2}}

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

= - \frac{3}{x ^{2}} + 0

Simplify

= - \frac{3}{x ^{2}}

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

\frac{\partial}{\partial x} (x y^{2} - 5 y + 6)

f (x) = 6 x sin (x), at x = \frac{π}{2}

\frac{d}{d x} (c e^{4 x})

x \to \infty lim (8 x - 32)

What is the derivative of 3/x+5 ?
The derivative of 3/x+5 is -3/(x^2)
What is the first derivative of 3/x+5 ?
The first derivative of 3/x+5 is -3/(x^2)