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Popular >

derivative of (2(x-3+2/(x+1)))

Solution

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

Solution

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Sum/Difference Rule:

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

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

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

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

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

= 2 (1 - 0 - \frac{2}{( x + 1 ) ^{2}})

Simplify

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

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Frequently Asked Questions (FAQ)

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