Jeopardy for Derivative and Integral

Basic Derivative

100

f(x)=xⁿ

f'(x)=nx^(n-1)

200

f(x)=a^x

f'(x)=a^x.ln(a)

300

f(x)=ln(x)

f'(x)=1/x

400

f(x)=cos(x)

f'(x)=-sin(x)

500

y = e^f(x)

dy/dx = f'(x)e^f(x)

Basic Integral

100

Integral of xⁿ

x⁽ⁿ⁺¹⁾/(n+1)+C

200

Integral of a^x

a^x/ln(a)+C

300

Integral of 1/x

ln|x|+C

400

Integral of sin(x)

-cos(x)+C

500

Integral of sec²x

tan(x)+C

Find the integral

100

The integral of 2x - 1

x² - x + c

200

Integral of (3 - x)⁴

-1/5 (3 - x)⁵ +C

300

Integral of -12e^4x+1

-3e^4x+1 + C

400

Integral of 7/(9x+4)

7/9 ln|9x+4| + C

500

Integral of 3cos(5x) dx

3/5 sin(5x) + C

Definite Integral

100

The definite integral between x = 0 and x = 1, of 4x³ dx

1

200

The definite integral between x = 3 and x = 6, of 2x(1- x) dx

-99

300

Without finding the primitive function, evaluate the integral from x=-1 to x=1 of 7x² dx, stating a reason.

0, odd function

400

Integral from x = 0 to x = 5pi/6, of sin(2x) dx

1/4

500

The exact value of the definite integral of 2x - e^x from x equals -1 to 2.

5 - e²

Pixar 200s

100

The film in which energy is harvested from screaming children

What is Monsters, Inc.?

200

The real name of Mr Incredible

Who is Bob Parr?

300

The voice actor for Lightning McQueen

Who is Owen Wilson?

400

The name of the rat protagonist from Ratatouille

Who is Remy?

500

The composer who wrote the soundtrack for Finding Nemo

Who is Thomas Newman?