4. (a) Find the average rate of change of f(x) = 3x” – 2x+3 on [-2, 1]. (b) Write the equation of the secant line containing the points (-2, f(-2) and (1, f(1)).
Find f'(x) please show all work C. f(x) = (3x - 5)(2x + 7)3 261 - Applied Calculus Homewor d. f(x) = (3x-5)
Question 1 1 pts Find the derivative of f(x) = cos(sin(3x)). Of"(x) --cos(3x) sin(sin(3x)) O f'() -- 3cos(3x) sin(sin(3x)) Of'(x) - 3cos(3x) sin(cos(3x]) f'x) --sin(3x) cos(cos(3x)) Question 2 1 pts Find the derivative of f(x) = cos(x^2 + 2x). Of "(x)=2x+2 sin(x^2 + 2x) O f'(x)= x^2 sin(x^2+2x) Of"(x)= (2x+ 2) sin(x^2 + 2x) f'(x)= -(x^2 + 2) sin(x^2 + 2x) O f'(x)--(2x + 2) sin(x^2 + 2x) Question 3 1 pts Use implicit differentiation to find the slope of...
2x f(x) = ex+ f'(x) = (3x + 2) ex+3 B f'(x) = (x2 + 2x) e*+2x-1 С f'(x) = ex®+2x f'(x) = €3x+2
Q1. f(x) = 5x3 – 2x² + 3x is given. a) Find the critical points of f(x). b) Find the intervals where f(x) increases/decreases. c) Classify the critical points of f(x). d) Find the intervals where f(x) is concave up/down. e) Find the inflection points of f(x).
Let g(x) =3x + 5 and f(x) = x2 + 2x – 7 . Find f(g(x)).
3. (8 points, 4 points each) f(x)-2x - 1 and g(x)-3x + 4, are functions from R to R. Find a. fog b. gof
21) g(x) 2x-2 f(x)=x2 +3x Find (g f-2+x)
Question 11 Find the derivative: f(x) = x2 In 5x 2x (3x In 5x) X+ In 10x **Previous
TUTI) 8. and h(x) = 3x - 2, a) If g(x) = 2x + 10 3 Find: - (3 marks) and express in its simplest form g[h(x)] = find f'(x) b) If f(x) = = 2x - 1 3x + 4 (4 marks)