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Professor Plum
100
The derivative of f_1(x).
What is f_1'(x)?
100
The slope of the tangent line.
What is the derivative?
100
The velocity function of a particle with position function s(t)=4t^3-2.
What is v(t)=12t^2?
100
The derivative of g_1(x).
What is g_1'(x)?
100
The derivative of f(x)+g(x) if f'(x)=7 and g'(x)=3.
What is 10?
200
The power rule.
What is [x^n]'=nx^(n-1)?
200
The derivative of position.
What is velocity?
200
The velocity of a particle moving with position function s(t)=2t^2-4t at time t=3.
What is 8?
200
The derivative of g_2(x).
What is g_2'(x)?
200
The derivative of 3f(x)-2g(x) if f'(x)=x and g'(x)=-1.
What is 3x+2?
300
The derivative of f_2(x).
What is f_2'(x)?
300
The second derivative of position.
What is acceleration?
300
The acceleration of a particle moving with position function s(t)=6t^2 at time t=1.
What is 12?
300
The derivative of g_3(x).
What is g_3'(x)?
300
The derivative of 2f(x)+7g(1) if f'(x)=5x and g'(x)=3.
What is 10x?
400
The derivative of f_3(x).
What is f_3'(x)?
400
The limit definition of the derivative.
What is the limit as h approaches zero of (f(x+h)-f(x))/h?
400
The acceleration of a ball thrown straight up with position function y(t)=-16t^2+12t+3.
What is -32 ft/s^2?
400
The derivative of g_4(x).
What is g_4'(x)?
400
The derivative of 3f(x)g(4) if f'(x)=e^x, g'(x)=3x and g(4)=7.
What is 21e^x?
500
The derivative of f_4(x).
What is f_4'(x)?
500
Speed
What is the absolute value of velocity?
500
The speed of a particle at time t=1 if the particle moves with position function s(t)=3t^3-15t.
What is 6?
500
The derivative of g_5(x).
What is g_5'(x)?
500
The derivative with respect to x of e*f(x)-4g(x)-x^4 if f(x)=7x and g(x)=x^2.
What is 7e-8x-4x^3?