MATH 1550 : MATH 1550 Final Review
Document Summary
Find equation of tangent line once a derivative is found (i. e. linerization): Newton"s method picture like the take home exam problem 1. Product rule: (first times derivative of the second) + (second times derivative of the first) Quotient rule: (bottom time derivative of the top) (top time derivative of the bottom) Chain rule: x4 = x3 f(x3) f"(x3) 1 cos(x) = sin(x) csc(x) = csc(x)cot(x) cot(x) = csc2(x) cos-1 = ___1___ Accel = a(t) s (t) sin(x) = cos(x) tan(x) = sec2(x) sec(x) = sec(x)tan(x) Exponential: ex, 5x, 7x ex: 5x = 5x ln(5) Log: ln(x), log4(x) ex: log4(x) = ___1___ x ln(4) Exponential growth & decay: (know relationship between life and decay) 1 + x2 t1/2 = ln(1/2) k m(t) = m0ekt if k>0: growth if k<0: decay a(t) = a0(1 + r)t a(t) = a0(1 + r/n)nt a(t) = a0ert. If f"(x) changes from ( ) (+): local min (decreasing)
