Definitions
Product Rule
Quotient Rule
Chain Rule
Nasty Derivatives
Riddle Me This
200

This is the definition of a derivative.

What is 

f'(x)=\lim_{h\to 0} \frac{f(x+h)-f(x)}{h} ?

200

This is the derivative of the function

f(x)=xe^x

What is 

f'(x)=e^x(1+x)?

200

This is the derivative of the function

f(x)=\frac{x+1}{x+2}

What is

f'(x)=1/(x+2)^2?

200

This is the derivative of the function

f(x)=(e^x+1)^2

What is 

f'(x)=2(e^x+1)+e^x?

200

This is the derivative of the function

f(x)=\frac{x^{500}){x^{499}}, \text{ where }x\ne 0

What is 

f'(x)=1?

200

When asked what Isaac's favorite number was, he said whatever 5 equals when following the pattern listed below.

1=5, 2=15, 3=215, and 4=3215

What is 1?

400

A function f(x) is called this if at x=a, f′(a) exists.

What is differentiable?

400

This is the derivative of the function

f(x)=x^2sin(x)

What is 

2xsin(x)+x^2cos(x)?

400

This is the derivative of the function

f(x)=\frac{sin(x)}{cos(x)}

What is 

f'(x)=sec^2(x)?

400

This is the derivative of the function

f(x)=tan(x^2)

What is 

f'(x)=2xsec^2(x^2)?

400

This is the derivative of the function

f(x)=\frac{tan(x^3)*(1-sin^2(x^3))*csc(x^3)}{cot(x^3)*(1-cos^2(x^3))*sec(x^3)}

What is 

f'(x)=-3x^2csc^2(x^3)?

400

The number you get once you multiply all numbers on a telephone dial-pad.

What is 0?

600

A function f(x) is called this if at x=a, 

\lim_{x\to a}f(x)=f(a)

What is continuous?

600

This is the derivative of the function

f(x)g(x)h(x)

What is 

f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)?

600

This is the derivative of the function

f(x)=\frac{x^2}{ln(x)}

What is

f'(x)=\frac{2xln(x)-x}{ln^2(x)}?

600

This is the derivative of the function

f(x)=\sqrt(5x-2)

What is 

f'(x)=\frac{5}{2\sqrt{5x-2}}?

600

This is the derivative of the function

f(x)=e^{sec(x)tan(x)}

What is

f'(x)=e^{sec(x)tan(x)}(sec(x)tan^2(x)+sec^3(x))?

600

The answer to when John's birthday is given the following information.

The day before yesterday I was 21, and I will be 24 next year.

What is December 31st?

800

This theorem states that if a function is continuous on a closed interval, then it takes every value between its maximum and minimum values at least once

What is the Intermediate Value Theorem?

800

This is the derivative of the function

f(x)=2x^4tan(x)ln(x)

What is

f'(x)=8 x^3 ln ( x ) tan ( x ) + 2 x^3 tan ( x ) + 2 x^4 ln ( x ) sec^2( x )?

800

This is the derivative of the function

\frac{f(x)-g(x)}{h(x)}

What is

\frac{(f'(x)-g'(x))h(x)-(f(x)-g(x))h'(x)}{(h(x))^2}?

800

This is the derivative of the function

(h(x)\circg(x))\circf(x)

What is

h'(g(f(x)))*g'(f(x))*f'(x)?

800

This is the derivative of the function

f(x)=\frac{ln(x^2)}{1+x^2}*e^x

What is 

f'(x)=\frac{(e^xln(x^2)+\frac{2e^x}{x})(1+x^2)-2xe^xln(x)}{(1+x^2)^2}?

800

The probability that when a dice is rolled, the product of the 5 visible sides is divisible by 3.

What is 100%?

1000

This is the derivative of the function

f(x)=\root{3}{x^2}(e^{4x}-sin(x))

What is 

f'(x)=\frac{2}{3\root{3}{x}}(e^{4x}-sin(x))+\root{3}{x^2}(4e^{4x}-cos(x))?

1000

This is the derivative of the function

f(x)=\frac{ln(x)}{e^x}-\frac{sin(x)}{x^{1/3}}

What is 

f'(x)=\frac{\frac{e^x}{x}-e^xln(x)}{e^{2x}}-\frac{cos(x)\root{3}{x}-\frac{sin(x)}{3\root{3}{x^2}}}{\root{3}{x^2}}?

1000

This is the derivative of the function

f(x)=e^{x^{sin(x)})

What is 

f'(x)=e^{x^{sin(x)}}x^{sin(x)}(\frac{sin(x)}{x}+cos(x)ln(x))?

1000

This is the derivative of the function

f(x)=tan(e^{3x^2+sin(ln(x^2))})

What is 

f'(x)=sec^2(e^{3x^2+sin(ln(x^2))})e^{3x^2+sin(ln(x^2))}(6x+cos(ln(x^2))\frac{1}{x^2}*(2x))?

1000

The total number of cards in my deck if the following is true.

A small number of cards have been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain.

What is 47?

2000

This is the derivative of the function

f(x)=(cos(100x)cos(100x)+sin(100x)sin(100x))(sin(100x)cos(100x)+cos(100x)sin(100x))

What is 

f'(x)=200cos(200x)?

2000

This is the derivative of the function

f(x)=\frac{\frac{\frac{1}{x^2}}{\frac{1}{x^2+1}}-\frac{\frac{1}{x^3}}{\frac{1}{x^3+1}}}{\frac{\frac{1}{x^5}}{\frac{1}{x^5+1}}-\frac{\frac{1}{x^7}}{\frac{1}{x^7+1}}}

What is 

f'(x)=\frac{4x^3(x+1)-x^4}{(x+1)^2}?

2000

This is the derivative of the function

f(x)=ln(e^csc(e^sin((x^100+2x^50+1)-(x^50+1)^2)))+x

What is 

f'(x)=1?

2000

This is the derivative of the function

f(x)=\frac{tan(e^{\frac{1}{2}x})+\frac{1}{e^{-sin(x^2)}}}{x^2+1}*(ln(e^{1+x^2})-x^2-1)

What is 

f'(x)=0?

2000

This is current age of your Instructional Student Assistant.

What is 20?