Power Rule race Flashcards

1

What is the equation of the tangent line to y=1/x through (-2,-1/2)?

y = (-1/4) x - 1
y - 1/2 = 1/4 ( x - 2 )
y = (-1/2) x - 3/2
y + 1/2 = -1/4 ( x + 2 )

2

Differentiate y=6x³

dy/dx = 3x5
dy/dx = 18x
dy/dx = 6x2
dy/dx = 18x2

3

Differentiate: y=2.3x²

dy/dx = 4.6x
dy/dx = 4.3
dy/dx = 4.6
dy/dx = 4.3x

4

Differentiate: y=x⁸⁰

dy/dx = 80
dy/dx = 79x80
dy/dx = 80x
dy/dx = 80x79

5

Differentiate y=√(x)

dy/dx = (1/2) x-1/2
dy/dx = 1/(√(x))
dy/dx = (1/2) √(x)
dy/dx = √1

6

Differentiate: y=x^2/3

dy/dx = (2/3)x-1/3
dy/dx = (2/3)x
dy/dx = 2x1/3
dy/dx = (2/3)x1/3

7

What is the slope of y=2+√(x) when x=9?

slope = 5
slope = 13/6
slope = 1/6
slope = 6.5

8

Differentiate: y=2x⁵

dy/dx = 10x
dy/dx = 10x4
dy/dx = 7x4
dy/dx = 2x4

9

Differentiate: y=10x⁵+x+3

dy/dx = 50x+4
dy/dx = 11x
dy/dx = 51x
dy/dx = 50x4+1

10

What is the slope of y=x⁷ when x=1?

slope = 7
slope = 1
slope = 42
slope = 7x6

11

Differentiate: y=3/x

dy/dx = -3/(x2)
dy/dx = -3x-2
dy/dx = 3
dy/dx = x/3

12

Differentiate: y=7x²-3x

dy/dx = 14x-3
dy/dx = 11x
dy/dx = 14-3x
dy/dx = 7x-3

13

Differentiate: y=4x^-5

dy/dx = -20x-4
dy/dx = -20x-6
dy/dx = -20x4
dy/dx = -20x-5

14

Differentiate: 6x⁴-x³

dy/dx = 21x
dy/dx = 24x3-3x2
dy/dx = 21x3
dy/dx = 18x3-4x2

15

Differentiate: y=∜(x)

dy/dx = 4x3
dy/dx = (1/4) x
dy/dx = (1/4) x-1/4
dy/dx = (1/4) x-3/4

16

Differentiate: y=x(x+1)

dy/dx = 2x
dy/dx = 2x+1
dy/dx = 1
dy/dx = 2

17

Differentiate y=3x

dy/dx = 3x
dy/dx = (3/2) x2
dy/dx = 3x+3
dy/dx = 3

18

What is the slope on y=x³-x when x=-2?

slope = -3
slope = -5
slope = -4
slope = 3

19

What is the equation of the tangent line to y=2x²-x+1 when x=0?

y = -x + 1
y = 0
y = -x
y = -x - 1

Power Rule race

Questions 19

Power Rule race

Questions 19