Consider the functions f(x) = 3 sin(x), g(x) = x¹ - 2e¹ and the function h(x) for which a table of values is given. I −1

[answerhappygod]

Consider The Functions F X 3 Sin X G X X 2e And The Function H X For Which A Table Of Values Is Given I 1 1 (41.8 KiB) Viewed 76 times

Consider the functions f(x) = 3 sin(x), g(x) = x¹ - 2e¹ and the function h(x) for which a table of values is given. I −1 0 2 h(x) 6 -6 -2 h'(x) 0 -2 2 In answering the following questions, be sure to explicitly denote which derivative rules (product, quotient, sum and difference, etc.) you are using in your work. a. Find the derivative of f(x) · g(x). b. Find the derivative of f(x) g(x) c. Find the value of the derivative of f(x) h(x) at x = −1. d. Find the value of the derivative of g(x) h(x) at x = 0. e. Consider the function r(x) = 3 sin(x). x. Find r'(x), r" (x), r'"(x), and r(iv) (x) so the first, second, third, and fourth derivative of r(x). What pattern do you notice? What do you expect the twelfth derivative of r(x) to be?