Solve the below:
Q: a) If x, y > 0, then ln x - ln y = ln x
find lny
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 ? > 0, such that for every δ> 0, we have ¦f(x) - 5¦ < ? whenever ¦x - 5¦< δ then lim f(x) = 5x x→3
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