What is the derivative of y=(10x+15)/x ?

The derivative of y=(10x+15)/x is -(15)/(x^2)

What is the first derivative of y=(10x+15)/x ?

The first derivative of y=(10x+15)/x is -(15)/(x^2)

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derivative of

y = \frac{10 x + 15}{x}

- \frac{15}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{10 x + 15}{x})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 10 x + 15 ) x - \frac{d x}{d x} ( 10 x + 15 )}{x ^{2}}

\frac{d}{d x} (10 x + 15) = 10

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

= \frac{10 x - 1 \cdot ( 10 x + 15 )}{x ^{2}}

Simplify

\frac{10 x - 1 \cdot ( 10 x + 15 )}{x ^{2}} : - \frac{15}{x ^{2}}

= - \frac{15}{x ^{2}}

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 4 y = 0

y^{^{'}} = - 3 y + e^{- 2 x}

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

\int_{- 2}^{- 1} \frac{1}{x} d x

\int_{- 1}^{1} x^{2} + 1 d x

What is the derivative of y=(10x+15)/x ?
The derivative of y=(10x+15)/x is -(15)/(x^2)
What is the first derivative of y=(10x+15)/x ?
The first derivative of y=(10x+15)/x is -(15)/(x^2)