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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
