Show:
Trig Functions
Power Rule and Quotient Rule
Derivatives
Limits
Bonus (Jokes!)
100
Tan60°
What is √3
100
d/dx (2x^5)
What is 10x^4
100
d/d(x) y=3e^x
What is y'=3e^x
100
lim x --> 2+(7/2-x)
What is -∞
100
What do you get if you divide the circumference of a jack-o-lantern by its diameter?
What is pumpkin pi
200
Cos90°
What is 0
200
Quotient rule
What is d/dx (f(x)/g(x)) = (f'(x)g(x)-f(x)g'(x))/(g(x))^2
200
d/d(x) y=10x^2+3x+5
What is y'=20x+3
200
lim x-->2+ (3x^2-6x)/(x-2)
What is lim3x x-->2=6 Hole @ x=2
200
Why is a calculus book always unhappy? Because it always has lots of problems
What is because it always has lots of problems
300
Cos135°
What is √2/2
300
d/dx(5√x)
What is (5√x)/2x
300
d/dx y=2lnx
What is y'=2/x
300
lim x-->3- |x-3|/(x-3)
What is -1
300
Why do you rarely find mathematicians spending time at the beach?
What is because they have sine and cosine to get a tan and don't need the sun!
400
Cot7π/4
What is -1
400
d/d(x) f(x)=(5x-2)/(x^2+1)
What is (-5x^2+4x+5)/((x^2)+1^2)
400
d/dx f(x)=(7x^2 + 2x)^4
What is f'(x)=4(7x^2+2x)^3(14x+2)
400
lim x-->-∞ (2x^3-x+5)/(7x^3+2x^2-x+5)
What is 2/7
400
The derivative of Amazon with respect to cost of shipping?
What is Amazon Prime
500
Csc-5π/6
What is -2
500
Find the derivative of f(x)= xsecx Then find f'(π)
What is d/d(x)= (cost +xsinx)/((cosx)^2) What is f'(π)= -1
500
d/d(x) y=√(x^3⋅e^x)
What is y'=(x+3)(√(x^3e^x))/2x
500
lim x-->3 (x^2-6x+9)/27-x^3)
What is 0
500
Why do mathematicians like parks?
What is because of all the natural logs.