What is the derivative of (x+1(x+2)) ?

The derivative of (x+1(x+2)) is 2x+3

What is the first derivative of (x+1(x+2)) ?

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

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

2 x + 3

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x + 1, g = x + 2

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

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

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

= 1 \cdot (x + 2) + 1 \cdot (x + 1)

Simplify

1 \cdot (x + 2) + 1 \cdot (x + 1) : 2 x + 3

= 2 x + 3

\frac{\partial}{\partial x} (y^{2} - 2 y cos (x))

\frac{d}{d t} (v (t))

\frac{d}{d x} (\frac{f ( x )}{g ( x )})

y^{^{''}} + 9 y = 2 cos (3 x)

\frac{1}{4} e^{3 x}

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