AP/Honors Calculus Jeopardy Game

derivs of exponents

100

y = e^5x+4

y' = e^5x+4 (5)

200

y = a^u

ln(a)a^uu'

300

y = 5^xx⁵

y' = ln(5)5^x(x⁵)+(5x⁴)(5^x)

400

y = 3^cos(x)cos(x)3^sin(x)sin(x) 

y' = 0

500

y = e^x5^xx³

Answer will vary...

derivs of logs

100

This curve is closest to the x-axis when finding areas with more than one curve.

What is a minor curve?

200

A known __________ of A(x) can be used to find a volume of a solid. Fill in the blank..

What is a cross section?

300

This formula is used to find areas with more than one curve.

What is ∫_a^b(f(x)-g(x) )dx?

400

All cross sections to find a volume will be in circle form, the formula for the cross section is A(x)= A= pi r^2. Name this method..

What is the Disk Method?

500

Find the area enclosed by y=x^2 and the y-axis between [0,3] is revolved around the y-axis.

What is 9/2 pi

logarithmic differentiation

100

Name 3 of the rules to find limits

What is Difference Rule, Constant Multiple Rule, Product Rule, Power Rule, Quotient Rule

200

State the definiton of a global limit.

What is limits involving infinity

300

Answer the following Limit Question: Lim x^2-3x-10/x^2-25 x->2

What is L=4/7

400

Answer the following Global Limit Equation 7x^4+2x^7/4x^7

What is 1/2

500

Name the 4 types of Discountinuties

What is Hole, Jump, Infinity, Oscillating

inverse trigs

100

State the formula of the Power Rule for Derivatives

What is A'b + B'a

200

Find any points where the graph fails to be differentiable and explain why 3√(5x+7)

What is y is not differentiable at x=-7/5 due to a vertical tangent

300

A function fails to be differentiable if it has a....

What is a discontinuity, corner, cusp or a vertical tangent

400

Integrate the following equation ∫√(7x+9)dx

(2/21)(7x+9)^(3/2)+C

500

Find dy/dx and d^2y/dx^2 of the following equation y=3x^4-4x^(3/2)

What is 12x^3-6x^(1/2) and 48x^2-3x^(-1/2)

application

500

Name 8 of the 17 derivative rules

answers vary