What is the derivative of (-11/(2(x-2)^2)-4/(x-2)) ?

The derivative of (-11/(2(x-2)^2)-4/(x-2)) is (4x+3)/((x-2)^3)

What is the first derivative of (-11/(2(x-2)^2)-4/(x-2)) ?

The first derivative of (-11/(2(x-2)^2)-4/(x-2)) is (4x+3)/((x-2)^3)

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\frac{d}{d x} (\frac{- 11}{2 ( x - 2 ) ^{2}} - \frac{4}{x - 2})

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

Solution steps

\frac{d}{d x} (\frac{- 11}{2 ( x - 2 ) ^{2}} - \frac{4}{x - 2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{- 11}{2 ( x - 2 ) ^{2}}) - \frac{d}{d x} (\frac{4}{x - 2})

\frac{d}{d x} (\frac{- 11}{2 ( x - 2 ) ^{2}}) = \frac{11}{( x - 2 ) ^{3}}

\frac{d}{d x} (\frac{4}{x - 2}) = - \frac{4}{( x - 2 ) ^{2}}

= \frac{11}{( x - 2 ) ^{3}} - (- \frac{4}{( x - 2 ) ^{2}})

Simplify

\frac{11}{( x - 2 ) ^{3}} - (- \frac{4}{( x - 2 ) ^{2}}) : \frac{4 x + 3}{( x - 2 ) ^{3}}

= \frac{4 x + 3}{( x - 2 ) ^{3}}

\frac{2 s + 3}{s ^{2} + 17}

\int x + 1 + \frac{2}{3} x d x

x \to + 0 + lim (\frac{2}{1 + ln ( x )})

y = 4 x - x^{2}

\int 20 t (5 t^{2} - 3)^{3} d t

What is the derivative of (-11/(2(x-2)^2)-4/(x-2)) ?
The derivative of (-11/(2(x-2)^2)-4/(x-2)) is (4x+3)/((x-2)^3)
What is the first derivative of (-11/(2(x-2)^2)-4/(x-2)) ?
The first derivative of (-11/(2(x-2)^2)-4/(x-2)) is (4x+3)/((x-2)^3)