Chain Rule (with Fractional Powers)

6(x+2)

9(x+2)²

12(x+2)³

15(x+2)⁴

8(x-2)

12(x-2)²

16(x-2)³

20(x-2)⁴

8(2x+2)

12(2x+2)²

16(2x+2)³

20(2x+2)⁴

20x(x²-2)

30x(x²-2)²

40x(x²-2)³

50x(x²-2)⁴

8(2x+1)(x²+x)

12(2x+1)(x²+x)²

16(2x+1)(x²+x)³

20(2x+1)(x²+x)⁴

2/√(x+2)

2/√(x-2)

3/(2√(x+2))

3/(2√(x-2))

1/√(x+2)

1/√(x-2)

2x/√(x²+2)

2x/√(x²-2)

3x/√(x²-2)

3x/√(x²+2)

4x/√(x²+2)

4x/√(x²-2)

(2x+1)/√(x²+x)

3(2x+1)/(2√(x²+x))

2(4x+1)/√(2x²+x)

⁻1/(x+2)²

⁻2/(2x+2)²

⁻2x/(x²+2)²

⁻(2x+1)/(x²+x)²

⁻(4x+1)/(2x²+x)²

⁻2/(x+2)²

⁻4/(2x+2)²

⁻4x/(x²+2)²

⁻2(2x+1)/(x²+x)²

⁻2(4x+1)/(2x²+x)²

⁻5/(x+2)²

⁻10/(2x+2)²

⁻10x/(x²+2)²

⁻5(2x+1)/(x²+x)²

⁻5(4x+1)/(2x²+x)²

⁻2/(x+2)³

⁻4/(2x+2)³

⁻4x/(x²+2)³

⁻2(2x+1)/(x²+x)³

⁻2(4x+1)/(2x²+x)³

⁻4/(x+2)³

⁻8/(2x+2)³

⁻8x/(x²+2)³

⁻4(2x+1)/(x²+x)³

⁻4(4x+1)/(2x²+x)³