Derivatives
f(x)=x3
f'(x)=3x2
Does y=x2-3x+4 have a minimum or a maximum?
minimum
What is the anti-derivative of 0?
c
What colour is kōwhai?
Yellow
Tying what to a cat will result in a paradox if dropped?
Buttered bread/toast
y=2x+4x2
dy/dx = 2+8x
Find the x-value of the maximum:
f(x)=-2x2+12x+4
max at x=3
What is the derivative of velocity with respect to time?
Accelleration
If someone asks you “Kei te pēhea koe?” How could you reply?
Answers may vary
What natural language has the fewest syllables with only 55?
Te Reo Māori
f(x)=10x7+5x6
f'(x)=70x6+30x5
Find the coordinate of the minimum:
y=x2+4
min at (0,4)
Find the derivative:
f(x) = 60094 + 1243/256 - 8
f'(x)=0
If someone is whā tekau mā ono years old, how old are they?
46
What country has more lakes than all other countries combined?
Canada
f(x)=x5+x4+x3+x2+x+1
f'(x)=5x4+4x3+3x2+2x+1
How many maximums and minimums (total) will the function y=x4+x3-x2-x-1 have?
3
What is the derivative of y=x-1
dy/dx = -1x-2
Who wrote the haka “Ka Mate”?
Te Rauparaha
What three islands in the Pacific make up more than 90% of all land in the Pacific?
Papua New Guinea, North Island, South Island
Find the anti-derivative:
f'(x) = 4x3-1
f(x) = x4-x+c
Find the x-value of the maximum and minimum and classify:
f(x) = x3-3x2-9x+2
x=3 minimum
x=-1 maximum
What is the derivative of f(x)=x1/2
f'(x)=1/2 x-1/2
What is the Māori name for Wellington?
Te Whanganui-a-Tara
What planet in the solar system has the largest mountain? Bonus points if you can name the mountain.
Mars, Olympus Mons