#43 part a b and c CHAPTER 3 DIFFERENTIATION RULES06139. (a) If f(x) = (x²-1)/(x² + 1), find f'(x) and f"(x).(b) Check to see that your answers to part (a) are reasonableby comparing the graphs of f, f', and f".40. (a) If f(x) = (x² - 1)e*, find f'(x) and f"(x).(b) Check to see that your answers to part (a) are reasonableby comparing the graphs of f, f', and f".41. If f(x) = x/(1 + x), find f"(1).42. If g(x) = x/e*, find g®(x).43. Suppose that f(5) = 1, f'(5) = 6, g(5) = -3, and g'(5) = 2.Find the following values.%3D%3D%3|(() ()44. Suppose that f(2) = -3, g(2) = 4, f'(2) = -2, andg'(2) = 7. Find h'(2).(x)4 (в)(a) h(x) = 5f(x) –- 4g(x)I|(x)6 - (x)fS(b) h(x) = f(x)g(x)(x)(x)(x)6(x)f + I||(*)ч ()45. If f(x) = e*g(x), where g(0) = 2 and g'(0) = 5, find f'(0).46. If h(2) = 4 and h'(2) = -3, find%3D(x)xpx=D247. If g(x) = xf(x), where f(3) =4 and f'(3)

Topic:- function and it's Derivatives

Answered: 43 part a b and c

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter58: Achievement Review—section Five

Section: Chapter Questions

Problem 30AR: Determine dimension x to 3 decimal places.

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