What is the derivative of ((x+1)/(x^2+3))-3 ?

The derivative of ((x+1)/(x^2+3))-3 is (-x^2-2x+3)/((x^2+3)^2)

What is the first derivative of ((x+1)/(x^2+3))-3 ?

The first derivative of ((x+1)/(x^2+3))-3 is (-x^2-2x+3)/((x^2+3)^2)

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derivative of

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

\frac{- x ^{2} - 2 x + 3}{( x ^{2} + 3 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x + 1}{x ^{2} + 3} - 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x + 1}{x ^{2} + 3}) - \frac{d}{d x} (3)

\frac{d}{d x} (\frac{x + 1}{x ^{2} + 3}) = \frac{- x ^{2} - 2 x + 3}{( x ^{2} + 3 ) ^{2}}

\frac{d}{d x} (3) = 0

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

Simplify

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

\frac{d}{d y} (3 - y^{2})

(x^{6} + 3 x^{2} - x + 3)^{^{'}}

\frac{t ^{2} + 1}{t ^{2}}

\frac{d}{d a} (3 cos^{2} (a) - sin^{2} (a))

x tan (x) + 1

What is the derivative of ((x+1)/(x^2+3))-3 ?
The derivative of ((x+1)/(x^2+3))-3 is (-x^2-2x+3)/((x^2+3)^2)
What is the first derivative of ((x+1)/(x^2+3))-3 ?
The first derivative of ((x+1)/(x^2+3))-3 is (-x^2-2x+3)/((x^2+3)^2)