Autumn Half Term 1 Flashcards
what is p x p x p x p
p^4
what is 5^2
125
what is √121
11
what are the two possible answers to x = √81
-9 or +9
what is a^1/2
√a
what is a^1/n
n√a
how would you make x^-n positive
1/x^n
how would you make (3/5)^-1 positive
(5/3)^1
a^b x a^c =
a^b+c
a^b / a^c
a^b-c
(x^a)^b
x^ab
what is 4,000,000 in standard form?
4 x 10^6
what is 36,000 in standard form?
3.6 x 10^4
differentiate y = x^n
dy/dx = nx^n-1
what is another name for dy/dx ?
the gradient function
when does a turning point occur?
when dy/dx = 0
how would you find the coordinates of a turning point?
differentiate and solve the given equation (ie y = x^2 + 2) to find x, then substitute x in and solve to find y
how many times must we differentiate to find the velocity?
once
what is the formula for velocity?
ds/dt = 3t^2 + 10t
how many times must we differentiate to find the acceleration?
twice
what is the formula for acceleration?
dv/dt = 6t + 10
