Problem:
Derivatives of Trigonometric Functions
1. Find derivatives of these functions chosing appropriate methods:
a) f(x) = 4x3 - 2x cos x
b) g(x) = (x-2)3(x2+2x+1)3 sin2x / (x-1)2(x2+4)
c) h(t) = sin (2t2 -6)
2. Suppose variables x and y are related by:xy + 2 sin (y2 + 1) = (x2y2). Find an expression,in terms of both x and y , for the deriative y'(x)