Derivative Jeopardy

Power Rule

100

Find the derivative of f(x)=x^-6

What is f'(x)=-6x^-7

200

Find the derivative of f(x)=1/12x^12

What is f'(x)=x^11

300

Find f'(x) if f(x)=x^3-1

What is f'(x)=3x^2-1

400

Find f'(x) if f(x)=3x^2+10x+6

What is f'(x)=6x+10

500

Find f'(x) if f(x)=x(x-3)

What is f'(x)=2x-3

Quotient Rule

100

Find f'(x) if f(x)=(x^2-3)/x-3

What is f'(x)= (x^2-6x+3)/(x-3)^2

200

Find f'(x)=(x^2+2x)/(x^4-x^3)

What is (-2x^5-5x^4+4x^3)/(x^4-x^3)^2

300

Find f'(x) if f(x)=(x^3-4)/(2x^2-3)

What is (2x^4-9x^2+16x)/(2x^2-3)^2

400

Find f'(x) if f(x)=(3x^2)/(x-6)

What is f'(x)=(3X^2-36x)/(x-6)^2

500

Find the derivative of cosx/sinx

What is -csc^2x

Chain Rule

100

Find f'(x) if f(x)=(x+1)^10

What is 10(x+1)^9

200

Find f '(x) if f(x)=(x+1)¹⁰

What is f '(x)=10(x+1)⁹ Work: f '(x)=10(x+1)⁹(1) =10(x+1)⁹

300

Find f'(x) if f(x)=(x/x+1)^4

What is (4x^3)/(x+1)^5

400

Find f'(x) if f(x)=(x^3+6x)^8

What is f'(x)=8(x^3+6x)^7(3x^2+6)

500

Find f'(x) if f(x)=2(x^2+1)^4

What is f'(x)=16x(x^2+1)^3

ln and exponential Functions

100

What is the derivative of f(x)=ln u

What is f '(x)= u'/u

200

Find the derivative of e^u

u'e^u

300

Expand ln (sqrt(x+1)/(x-5)^2)

1/2 ln(x+1)-2 ln(x-5)

400

Find the derivative ln(5x+9)

5/5x+9

500

Find the derivative of e^(2x-4)

2e^(x-4)

Other

100

A method of finding the derivative of a function that is the remainder of two other functions for which derivatives exist. f(x)=g(x)/h(x)

What is quotient rule.

200

A formula for computing the derivative of the composition of two or more functions

What is chain rule

300

What is the derivative when the power is 1

A constant

400

What is the derivative when the power is 0

Zero (0)

500

Who is your favorite math teacher

Miss Manal