Calculus stuff to remember

what is ln (1) = ?

0

what do you do to get rid of an ln?

you base e it! basically, put an e under the equation to cancel the ln out!

what is ln?

natural log/ logarithm

what does it mean to “find y = f(x)”

you will integrate dy/dx or f’ (f prime) to find f’(x)

whats the derivative of ln (x)?

1/x

e^0 =?

1

e^1

around 2.71 (like 3)

e^-x

rlly small number

the bigger the x, the smaller the number (if the x is negative)

length of curve equation

• parametric = (dx/dt)² + (dy/dt)²

• algebraic = picture

log rules: what does subtraction equal/turn into ?

division (and positive one goes on top of fraction)

particle movement

x determines right or left (x = right, -x = left)

y determined up or down (y = up, -y = down)

log rule for n^t (or n^x) (n=random numer)

how to multiply fractions?

multiply denominators together and multiply numerators together

• ex. 1/2 x 1/3 = 1/6 (1 × 1)/(2 × 3)

sum formula (for GST)

d²y / dx² formula

x!

• fastest growing

ln (x)

• slowest growing

e^x

faster than ln(x) and linear (x^n)

slower
———
faster

• = 0