Topic Name: Chain rule

Hi,

I want you to solve these questions. These are chain rule questions(AP calculus).

Refer to these formulas to solve chain rule trig questions.

please answer the question in neat/readable handwriting.

\fa) f(x) = sin3(x) f(x) = sin(x3) cos3 (x) Group A: y = cot(sin2x) y = In(cosx) f (x) = tan?(cosvx) Group B b) f(t) = sin* (2t) f(x) = sin [3xcos(x)] 1. Write the equation of tangent line and normal line to f(x) = sin(3x)cos(2x) c) f (t) = Vtant the curve of the function f (x) = cos?(cosx) at x = 0. Group C: 2. A machine is programmed to move an etching tool t y = tan( f(x) = sin(x2)tan(x) such that the position of the tool is given by Vt + 1 x = 2 cos(3t) + 6t and where the position in cm and time Find day is in s. y = sin(3x2) a) Find the initial position of the tool. b) Determine when the velocity is zero. d) f(x) = xcos3 (x) Problem Solving/Sketching Technology The position of a pendulum moving in a y = tan[sin' (x)] Use the position function to back and forth motion is represented find the velocity at t = 0. by the function s(t) = tsin(t2) , where s in meters, and t in seconds. Find the f(x) = sec-(tan3x) velocity of the pendulum at t = 1 s(t) = tcos(t2 + It) second