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

The solution to expand 2(x+1) derivative of x+1 is 2x derivative of x+1+2 derivative of x+1

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = 2 \frac{d}{d x} (x + 1), b = x, c = 1

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

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

Multiply the numbers:

2 \cdot 1 = 2

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

\frac{a}{b ( c + n )}

4 (3 e^{6} - 1)

\frac{x ( 5 - 2 x )}{2}

\frac{( x - y ) ^{2} \cdot y}{x + y}

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

What is expand 2(x+1) derivative of x+1 ?
The solution to expand 2(x+1) derivative of x+1 is 2x derivative of x+1+2 derivative of x+1