AP Calculus AB Jeopardy!

Differentiation 1

100

Find the derivative of f(x)=3/2x²

What is 3x?

200

Find the derivative of 7x³+9x²+5x

What is 21x²+18x+5?

300

Find the slope of f(x)=5/3x³-3x²-1/x² at x=-1

What is 9?

400

Find the derivative of f(x)=(x+3)³/(x-2)²-x²(7x+7)

What is (x+3)²[3(x-2)-2(x+3)]/(x-2)³-21x²-14x?

500

Find the derivative of f(x)=3x²+7x-2 using the limit process.

What is 6x+7?

Differentiation 2

100

Find dy/dx. xy²+y³+x²=10

What is (-2x-y²)/(2xy+3y²)?

200

Find the derivative of f(x)=ln(x³+3x²+7).

What is (3x²+6x)/(x³+3x²+7)?

300

Find dy/dx for the following function: x²y³+y²+3x=y.

What is (-3-2xy³)/(3x²y²+2y-1)?

400

Find the derivative of f(x)=tan(3x).

What is 3sec²(3x)

500

Solve for d²y/dx² when y²=3x²+4x+y at the point (2,5).

What is -.036?

Anti-differentiation

100

Integrate F'(x)=3x²+6x.

What is x³+3x²+C?

200

Integrate F'(x) = x²

What is (x³/3 +C

300

Find the equation of F given F'(x)=x³-3x²+7x+8 and F(0)=5

What is F(x)=(x⁴/4)-x³+3.5x²+8x+5

400

Solve for y=f(x) when f(3)=2. dy/dx=x²+3x/y²

What is (2/3x³+2x²-32)^.5?

500

Integrate x/(4+x²)^.5.

What is (4+x²)^.5+C?

Zev Fun Facts

100

What do his initials spell

What is ZBT

200

What football team does he support

What is the Fraudelent Patriots

300

What does he do other than teaching for Heschel

Frisbee coach

400

What University did Zev Attend

What is Maryland

500

Zev Attended this High School

The Maimonedes School

Applications

100

Find the area of the region bounded by f(x)=x²-3x-10 and g(x)=-x²+5x+14.

What is 170.667?

200

Find the average acceleration of a particle over the interval (0,50) given v(50)=80ft/sec and an initial velocity of 10 ft/sec. Include units in your answer.

What is 7/5 ft/sec²?

300

The rate of change of radius r of a circle is 4 cm/s. Find the rate of change of Area A when r=2cm.

What is 16π?

400

The acceleration of a particle is given by the function a(t)=3t²+7. Find the position function of the particle given that its initial velocity is 10 m/sec and an initial height of 80m.

What is s(t)=(t⁴/4)+3.5t²+10t+80?

500

Find the volume of the solid generated by revolving the region bounded by y=x², the x-axis, and x=2 around the y-axis.

What is 8π?