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Popular >

derivative of ((4x^2+4x+1)/((2x+1)))

Solution

\frac{d}{d x} (\frac{( 4 x ^{2} + 4 x + 1 )}{( 2 x + 1 )})

Solution

2

Solution steps

\frac{d}{d x} (\frac{( 4 x ^{2} + 4 x + 1 )}{( 2 x + 1 )})

Simplify

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

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (1) = 0

= 2 + 0

Simplify

= 2

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Frequently Asked Questions (FAQ)

What is the derivative of ((4x^2+4x+1)/((2x+1))) ?
The derivative of ((4x^2+4x+1)/((2x+1))) is 2
What is the first derivative of ((4x^2+4x+1)/((2x+1))) ?
The first derivative of ((4x^2+4x+1)/((2x+1))) is 2