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Popular Calculus >

derivative of sqrt((x+1(x+2)))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{2 ( x + 1 ) ( x + 2 )} (2 x + 3) : \frac{2 x + 3}{2 ( x + 1 ) ( x + 2 )}

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

Graph

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\frac{d P}{d t} = - 0.02 P

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Frequently Asked Questions (FAQ)

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