What is the derivative of y=(x+2)/(x^2) ?

The derivative of y=(x+2)/(x^2) is (-x-4)/(x^3)

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

The first derivative of y=(x+2)/(x^2) is (-x-4)/(x^3)

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derivative of

y = \frac{x + 2}{x ^{2}}

\frac{- x - 4}{x ^{3}}

Solution steps

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

Apply the Quotient Rule:

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

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

\frac{d}{d x} (x + 2) = 1

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

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

Simplify

\frac{1 \cdot x ^{2} - 2 x ( x + 2 )}{( x ^{2} ) ^{2}} : \frac{- x - 4}{x ^{3}}

= \frac{- x - 4}{x ^{3}}

- 9 sin^{5} (x)

\frac{x ^{n + 1}}{( n + 1 )}

tan (lo g_{10} (x^{2}))

- 3 sin^{3} (x)

sin (m^{2}) x

What is the derivative of y=(x+2)/(x^2) ?
The derivative of y=(x+2)/(x^2) is (-x-4)/(x^3)
What is the first derivative of y=(x+2)/(x^2) ?
The first derivative of y=(x+2)/(x^2) is (-x-4)/(x^3)