What is the derivative of (72000+60x)/x ?

The derivative of (72000+60x)/x is -(72000)/(x^2)

What is the first derivative of (72000+60x)/x ?

The first derivative of (72000+60x)/x is -(72000)/(x^2)

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derivative of

\frac{72000 + 60 x}{x}

- \frac{72000}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{72000 + 60 x}{x})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d x} ( 72000 + 60 x ) x - \frac{d x}{d x} ( 72000 + 60 x )}{x ^{2}}

\frac{d}{d x} (72000 + 60 x) = 60

\frac{d x}{d x} = 1

= \frac{60 x - 1 \cdot ( 72000 + 60 x )}{x ^{2}}

Simplify

\frac{60 x - 1 \cdot ( 72000 + 60 x )}{x ^{2}} : - \frac{72000}{x ^{2}}

= - \frac{72000}{x ^{2}}

f (x) = cos (sin (x))

t^{2} y^{^{'}} - y = 0

\int \frac{e ^{u}}{( 2 - e ^{u} ) ^{2}} d u

\frac{1}{x} sin^{3} (6 x)

7 e^{- 4 x}

What is the derivative of (72000+60x)/x ?
The derivative of (72000+60x)/x is -(72000)/(x^2)
What is the first derivative of (72000+60x)/x ?
The first derivative of (72000+60x)/x is -(72000)/(x^2)