Show:
Limits
Limits 2
Derivatives
Tangent and Normal lines
Pot Pourri
100
Find lim as x approaches 2 of 3x - 1
What is 5
100
Why does the lim x approaches 1 of 1/x-1 not exist
What is graph approaches different y values or graph hits a vertical asymptote
100
The derivative of 2x - 5
What is 2
100
The slope of the tangent line to y = 4x^2 - 7 at ( 1,-3)
What is 8
100
Who is credited with inventing calculus
Who is Newton
200
Find lim as x approaches -1 of 4x + 2
What is -2
200
Why does the limit as x approaches 0 of sin 1/x not exist
What is oscillation
200
The derivative of 3x^3-2x + 4
What is 9x^2 - 2
200
The slope of the normal line to y = x^3 - 2x^2 -5 at (3,4)
What is -1/15
200
How many reasons are there that limits don't exist
What is 3
300
Find lim as x approaches 2 of x^2 -4/x-2
What is 4
300
The limit as x approaches 0 from the right of 1/x
What is positive infinity
300
The derivative of 2/x
What is -2/x^2
300
The equation of the tangent line to y = x^4 + 6 at ( -1, 7)
What is y - 7 = -4(x +1)
300
Name a symbol for the derivative
What is y' or f'(x) or d/dx or dy/dx
400
Find lim as x approaches -2 of x+2/x^2 +6x + 8
What is 1/2
400
The limit as x approaches 0 from the left of y =x +3 x>0 2x-1 x < 0
What is -1
400
The derivative square root of x^5
What is 5/2x^3/2
400
The equation of the normal line to y = x^2 + x - 3 at (2, 3)
What is y - 3 = -1/5(x - 2)
400
On piece-wise functions what is the reason a limit would not exist
What is the graph approaches different y values from the left and right
500
Find lim as x approaches 3 of log ( x -2)
What is 0
500
The limit as x approaches negative infinity of y = x^3/x
What is positive infinity
500
The derivative of 1/cube root of x
What is -1/3 times the cube root of x^4
500
The equation of the normal line to cube root of x at (-8,-2)
What is y + 2 = -12 ( x + 8 )
500
What is the limit to infinity of y = 1/x
What is 0