B. Cal Flashcards
Chain Rule
Let y = f(g(x)), then y’ = f’(g(x)) × g’(x)
Product Rule
d/dx(uv) = uv’+ vu’
Quotient Rule
d/dx(u/v) = (vu’ - uv’)/v²
Power Rule
If f(x) = x^n, then f’(x) = nx^(-1)
Limit of sin(x)
lim[sinx] = sin(c)
x->c
Limit of cosx
lim[cosx] = cos(c)
x->c
Limit property of sinx
lim[sinx/x] = 1
x->0
Limit property of cosine
lim[(cosx - 1)/x] = 0
x->0
Slope-Intercept Form of Line
y = mx + b
Limit of exponential function when base > 1, and raised to x
lim = +∞
x->+∞
lim =0
x-> -∞
Limit of exponential function when base > 1, and raised to -x
lim = +∞
x-> -∞
lim = 0
x-> +∞
Limit of exponential function when 0< base < 1, and raised to x
lim = 0
x->+∞
lim = +∞
x->-∞
Limit of exponential function when 0< base < 1, and raised to -x
lim = +∞
x->+∞
lim = 0
x->-∞
Limit of logarithm function when base > 1
lim = -∞
x->0 (right)
lim = +∞
x->+∞
Limit of logarithm function when
0 < base < 1
lim = +∞
x->0 (right)
lim = -∞
x->+∞
