MATH114 Chapter Notes - Chapter 3.3-3.5: Differentiable Function, Trigonometric Functions
greyrhinoceros76 and 65 others unlocked
112
MATH114 Full Course Notes
Verified Note
112 documents
Document Summary
Two important trig limits: lim x 0 sin x x. = 1 and cos x 1 x lim x 0. If g is di erentiable at x and f is di erentiable at g(x), then h(x) = f (g(x)) is di erentiable at x with h(cid:48)(x) = f(cid:48)(g(x)) g(cid:48)(x). In leibniz"s notation, if y = f (u) and u = g(x) with both di erentiable, then dy dx dy du. After this, we try to solve the di erentiated expression for dy/dx.