Critical point is where function derivative is zero or undefined. Critical points exist for single variables, complex variables, and multiple variables. Critical points of curves are where tangent is parallel to y-axis
L'Hôpital's rule was first introduced by Johann Bernoulli in 1694. It allows evaluating limits of indeterminate forms using derivatives. The rule was published by Guillaume De l'Hôpital in 1696
Exponential function maps zero to one and has derivative equal to its value. Denoted as ex or e, with base e ≈ 2.718. Converts sums to products and vice versa. Graph is upward-sloping and always lies above x-axis
Exponential functions have form f(x) = ax, where a > 0. The derivative of e^2x is 2e^2x. The base 'e' is approximately 2.718
Arcsin is the inverse function of sine. If y = sin-1x, then sin y = x. The derivative of arcsin is 1/√1 - x²
Section covers all English tenses including simple and progressive forms. Exercises available at Elementary, Intermediate and Advanced levels. Mixed tense exercises included in separate section