Calculus/quantitative Final Review

[JohnKimx83]

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Alright Augusters, lets start laying down some basic calculus/math mumbo jumbo.

f(x) = x^a +bx + c
f '(x) = ax^(a-1) + b

Chain Rule

f(x) = (x^2 + 1)^3
f '(x) = 3(x^2 + 1)^2 (2x) = 6x(x^2 + 1)^2

::

f(x) = logx --> f '(x) = 1 / x

f(x) = e^x --> f '(x) = e^x

product rule

fg(x) = f(x)g'(x) + g(x)f'(x)

::

Trig

sin/cos/tan and quadrants +,+,-,-

sin 1,2,3,4
cos 1,4,2,3
tan 1,3,2,4

csc = 1/sin
sec = 1/cos
tan = sin/cos = 1/cot
cot = 1/tan = cos/sin

sin ^2x + cos^2x = 1

ADD TO THIS!