Topic: Chain rule (Ap calculus)

Find the derivative of the functions.

Classwork: Group A: af(x) = tan' (x) + sin3(x) bf (t) = cos3 (2t - 3) Group B: af ( x ) 3cot* (5x) byf ( x ) = cos3 (Inx) of ( x ) = sin' (cosx) Group C: a ) F ( x ) = Vcos(5x) b ) F ( x ) sin3( C ) f ( xx ) = tan ( Vxx) Independent Learning: 1. Write the equation of tangent line and normal line to the curve of the function f(x) = Vsinx at x = n. 2. The position of a pendulum moving in a back and forth motion is represented by the function s(t) = t2 + 3vcost , where s in meters, and t in seconds. Find the change in position with respect to time after t =