Hello Tutor, I need help with the math problems that are circle in red. Please help me as soon as possible.

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Chapter 3 | Derivatives 297 3.6 EXERCISES For the following exercises, given y = f(u) and 230. y = cos'(nx) u = g(x), find by using Leibniz's notation for the chain rule: dy dy du 231. y = (2x3 - x2 + 6x + 1) du dx 214. y = 3u - 6, u = 2x2 232. y = - sin (x) 215. y = 6u', u = 7x - 4 233. y = (tanx + sinx) -3 216. y = sinu, u = 5x - 1 234. y = x2 cos4 x 217. y = cosu, u = 235. y = sin (cos 7x) 218. y = tanu, u = 9x + 2 236. y = 16 + secnx2 219. y = V4u + 3, u = x2 - 6x 237. y = cot' (4x + 1) For each of the following exercises, 238. Let y = [f(x)]' and suppose that f' (1) = 4 and a. decompose each function in the form y = f(u) dy = 10 for x = 1. Find f(1). and u = g(x), and dx dy dx as a function of x. 239. Let y = (f(x)+5x2)* and suppose that 220. y = (3x - 2)6 f(-1) = -4 and =3 when x = -1. Find f' (-1) 221. y = (3x2 + 1 ) 240. Let y = (f(u) + 3x)2 and u = x3 - 2x. If f(4) = 6 and = 18 when x = 2, find f' (4). 222. y = sin (x) 241. [T] Find the equation of the tangent line to 223. y = ( + + 7) y = -sin *) at the origin. Use a calculator to graph the function and the tangent line together. 224. y = tan (secx) 242. [T] Find the equation of the tangent line to 225. y = csc (xx + 1) y = (3x + #) at the point (1, 16). Use a calculator to 226. y = cot~ x graph the function and the tangent line together. 243. Find the x-coordinates at which the tangent line to 227. y = -6sin x y= (x - ) is horizontal. For the following exercises, find dy for each function. 244. [T] Find an equation of the line that is normal to g(0) = sin2 (70) at the point (4. ). Use a calculator to 228. y = (3x2 + 3x - 1) graph the function and the normal line together. 229. y = (5 -2x) -2 For the following exercises, use the information in the following table to find h'(a) at the given value for a.3.7 EXERCISES For the following exercises, use the graph of y = f(x) to 263. a. sketch the graph of y = f (x), and b. use part a. to estimate (f-)' (1). 260. HN OAK H N O AK -4 -3-2-1 0 1 2 3 4 x -4-3-2 -1 0 1 2 3 4 X For the following exercises, use the functions y = f(x) to find a. J at x = a and dx 261. b. x = f-(). C. Then use part b. to find I - at y = f(a). 264. f(x) = 6x - 1, x = -2 -4-3-2-1 0 1 2 3 4 x 265. f(x) = 2x3- 3, x = 1 266. f(x) = 9 - x2, 05 x