Calculus Jeopardy

Derivatives

100

What is the Product Rule?

What is H'(x)= F*G'+G*F'

200

What is the Quotient Rule?

What is H'(x)= ((u*v')-(v*u'))/u²

300

What is the derivative of P(X)= LN(x) + E^x

What is 1/x + E^x

400

How many functions have the derivative X²?

Infinitely many

EG: 1/3X³ + C

500

What is the derivative of Tan(x)

What is Sec²(x)

Position, Velocity, Acceleration

100

Use the power rule to find the derivative of (X^N)

What is N(x)^N-1

200

Find the velocity of the function P(t)= -4.9t² + 18t + 2

What is P'(t)=-9.8t +18

300

Find the velocity and acceleration of F(x) = 5cos(3x)

What is: F'(x) = -15sin(3x) 

and F"(x) = -45cos(3x)

400

If a ball at T=-5 has a velocity of 4 and an acceleration of -3 is it speeding up or slowing down

What is slowing down

500

Find the instantaneous velocity of H(t)= 2+15t-4.8t^2-0.2t^3 at t=3

What is -19.2

Chain Rule

100

What Is the Chain Rule

What is f'(x)= O'(I)*I'

200

differentiate this function with respect to X: g(x)=(x⁵+4)²

What is g'(x)=10x⁴(x⁵+4)

300

differentiate this function with respect to X: j(x)=(x-5)^-3

what is j'(x)= -3/(x-5)⁴

400

differentiate this function with respect to X: k(x)= (4x⁴-3)^1/5

What is k'(x)= 16x³/(5(4x⁴-3)^4/5)

500

differentiate this function with respect to X: L(x)= (-x⁴+3)⁵(-x²-2)

What is L'(x)= 2x(x⁴-3)⁴(11x⁴+20x²-3)

Limits

100

Find the limit as x goes to positive infinity of (3x + 2)/(2x - 1)

What is 2/3

200

The limit of (2x + 3) as x approaches 5.

What is 13

300

Evaluate: Lim(x->3) of (x-3)/(x^3+6x^2+4x)

what is 0

400

Lim(x->4) |2x-10|/x-5

What is -1

500

The limit of (x^2 - 1)/(x - 1) as x approaches 1.

What is 2

Miscellaneous math facts

100

What is the name of the type of mathematics that deals with the finding and properties of derivatives and integrals of functions, by methods originally

what is Calculus

200

What does calculus mean in Latin?

what is a Small Pebble/Stone

300

On average there has to be this many people in a room for there to be a 50% chance of two people sharing the same birthday

what is 23

400

What is the 3rd derivative of position called

what is the Jerk factor (the rate of change of acceleration)

500

What is the probability of randomly correctly guessing the answer to this multiple choice problem:

A. 50%

b. 25%

c. 33%

d. 1/4

0% 

If it is a 1/4 chance then two out of the four are right, making the right answer 50%, meaning its a 1/4, repeating the cycle.