What's the Rule(s)?
y = x/(x+1)
quotient rule
y = 5
y' = 0
F(x) = 100 at x = 4
y = 0x +100
y = x2
power rule
f(x) = 200x7
f'(x) = 1400x6
f(x) = 4x2 + 12x + 2 at x = 2
y = 28x - 14
y = xsin(x)
product rule
f(x) = sin(x)cos(x)
f'(x) = cos2(x) - sin2(x)
y = 2xsin(x) at x = pi
y = (-2pi)x + 2(pi)2
f(x) = xsin2(x)
product rule and chain rule
f(x) = (x2 + 2x)/sin(x) (Don't try to simplify)
f'(x) = [(2x+2)sin(x) - (x2 + 2x)cos(x)]/sin2(x)
y = (x3 - x2)2 at x = 2
y = 64x -112
f(x) = xcos(x)/(x+1)2
quotient rule, product rule, chain rule
y = (3x2)/(xsin(x))
y' = (3sin(x) - 3xcos(x))/sin2(x)
y = cos2(x)/(x3 + 2) at x = 0 (Hint: don't foil)
y = 0x + 1/2