Chapter 2 (2.1-2.3)
Chapter 2 (2.4-2.6)
Chapter 3
Chapter 4
Chapter 4.4 - 4.6
100
Use the power rule what is the derivative of y= 1/(x^2)
-2/(x^3)
100
Use Chain Rule Find the derivative y= (x^2+1)^3
3(x^2+1)^2 * 2x
100
If the f'(x)=0 or if f is not differentiable at x, then x is a ______ of f
Critical Number
100
What the integral of sec(x)tan(x)dx
sec(x) + C
100
What equation is related with the Fundamental Theorem of Calculus?
interval [a,b] ∫f(x)dx = F(b) - F(a)
200
Find the slope of f(x)= x^4 + x + 10, x= 1
slope = 5
200
Chain Rule. Find Derivative y= (cos(x))^2
-2cos(x)sin(x)
200
Find critical number on interval and min and max [-1,3] f(x)= 2x - 3x^(2/3)
Critical numbers are -5 and -1 Min= -5 Max= 0
200
Find antiderivative of sin(x) / (cosx)^2
sec(x) + C
200
Find definite integral of ∫(x^2-3)dx interval [2,1]
-2/3
300
What's the derivative of y= 5/(2x^3)
-15/(2x^4)
300
True or False? If f is differentiable at x= c, then f is not continuous at x= c
Flase f is continuous at x= c
300
True or False? Rolles Theorem uses the equation f'(c)= (f(b)-f(a)) / (b-a)
False The Mean Value Theorem uses this
300
Find the area of ∫(x+2)dx (interval is (3,1))
Area = 21/2
300
Find area y= 3x^2 + 1 x=0, x=2, y=0
Area = 10
400
Use the quotient rule f(x) = (x^2 + 2)/ (2x-7)
2(x^2 - 7x -2)/ (2x-7)^2
400
Use Implicit Differentiation of find derivative of y^3 + y^2 - 5y- x^2 = -18
(2x)/ (3y^2 + 2y - 5)
400
Find were the function is increasing and decreasing on interval (0, 2pi) f(x)= .5x- sin(x)
0
400
Find the definite integral of ∫(-x^2 + 4x - 3)
WHAT IS 4/3
400
Find indefinite integral of ∫ x*(SqrRt(9-x^2))
(2/3)*(9 - x^2)^(3/2) + C
500
Derivative of y = cos(x) + cot(x)
-sin(x) - csc(x)^2
500
Find Second Derivative, with respect to x, of x^2 + y^2= 1000
-25/ y^3
500
Find concavity of f(x)= x^3 - 6x^2 +12x
Concave Down (-∞,2) Concave Up (2,∞)
500
Find the average value of f(x) = 3x^2 - 2x on interval [1,4]
WHAT IS 16
500
Use trapezoid rule to approximate the definite integral of ∫sin(x^2)dx on interval [1.1, 1]
.0891
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