What is the derivative of 5x-3/x ?

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

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

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

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derivative of

5 x - \frac{3}{x}

5 + \frac{3}{x ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 5 - (- \frac{3}{x ^{2}})

Simplify

= 5 + \frac{3}{x ^{2}}

\frac{d}{d x} (5 \cdot cos (x))

4 \frac{d y}{d x} = y^{2}

x \to 0 lim (\frac{( 9 ^{x} - 5 ^{x} )}{x})

y^{^{'}} = y \cdot k (100 - y)

\frac{d}{d x} (- \frac{x ^{6}}{1 + x ^{12}})

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