展开 2(x+1) derivative of x+1

解答

展开

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

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

求解步骤

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

使用分配律:

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)

数字相乘:

2 \cdot 1 = 2

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

e x p an d \frac{a}{b ( c + n )}

e x p an d 4 (3 e^{6} - 1)

e x p an d \frac{x ( 5 - 2 x )}{2}

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

e x p an d \frac{x + 1}{( x ^{2} + 1 ) ( x - 1 )}