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Power Rule

100

2x+5

2

200

2x²+5

4x

300

3x⁴+2x²

12x³+4x

400

14x²+5x-6

28x+5

500

x⁶+4x⁴+2x²+PiX+5

6x⁵+16x³+4x+Pi

Chain Rule

100

(x+2)²

2x(x+2)

200

(3x³-2)⁴

36x²(3x³-2)³

300

(3x²+2)³

18x(3x²+2)

400

(3x³-4)²

18x²(3x³-4)

500

(-x⁵+4)²

-10x⁴(-x⁵+4)

Trig

100

Sin(x)

Cos(x)

200

4secx

4secxtanx

300

tan(5x)

5sec²(5x)

400

Cos(4x⁵⁾

-20x⁴ sin(4x⁵)

500

4sin³(x)

12sin²(x)cos(x)

Product

100

x²(5x³+3)

25x⁴+6x

200

(x+2)(x²-4)

3x²+4x-4

300

(x²-5)(3x+2)

9x²+4x-15

400

(x⁴-2)(4x⁵+5)

(x⁴-2)20x⁴+(5x⁴+5)-4x³

500

(x-3)(x²-2x+4)

3x²-10x+10

Quotient

100

5/(2x⁵-2)

-25x⁴/(2x⁵-2)²

200

3/(3x²+5)

-18x/(3x²+5)²

300

4/(x⁵+3)

-20x⁴/(x⁵+3)

400

x/(x-1)

-1/(x-1)²

500

(5x-2)/(x²+1)

(-5x²+4x+5)/(x²+1)²