A) If x, y > 0, then ln x - ln y = ln x
b) If f'(a) = 0 and f"(a) = 0, then the function f does not have an extreme point at x = a.
c) For every real number x, we have ln(e^x²-¹) = (x - 1)(x + 1)
(e has the exponent x²-¹)
d) If there exists Є > 0, such that for every δ > 0, we have │f(x) - 5│ < Є whenever
│x - 5│< δ, then lim f(x) = 5
e) If F(x) is an antiderivative of f(x), then G(x) = 3F + 5x +7 is an antiderivative of g(x) = 3f(x) + 5© BrainMass Inc. brainmass.com March 4, 2021, 7:59 pm ad1c9bdddf
True or False. Please explain the answers:
a) If x, y > 0, then ln x - ln y = ln x
It is False, as the correct equality is
lnx-lny=ln (x/y) for all x, y>0.
b) If f'(a) = 0 and f"(a) = 0, then the function f does ...
Derivatives, Epsilon-Delta Proof of Continuity and Integrals are investigated.