Below is the plot of a function f(x). 15 14 13 12 H 10 -9 - 8 - 6 -3 -2 2 6 -13 -14 - 15 Which is the most accurate table for the derivative function f' (a)? If' (a) | f' (a) f' (a) f' (a) -6 0 -6 0 -6 0 -6 0 -3 - 1.4 -3 2.7 -3 1.7 -3 -7 0 0 0 5.4 0 0 0 0 1.5 1.7 1.5 -4.2 1.5 -1.4 1.5 8.5 3 4.1 3 0 3 4.1 3 4.1 O O O OQuestion 2 B 2 pts '0 1 G) Details 4 al Let f(m) = 7m5+ f'(a:) : 7(11229; 4) 22:2 0 Question 3 B 2 pts '0 1 6) Details Given that x) = wuhlm) h( 1) = 4 h'( 1) = 7 Calculate f'( 1). ' 0 Question 4 B 2 pts '0 1 Q Details The current population of a small town is 5514 people. It is believed that town's population is tripling every 11 years. Use the secant line to approximate the population of the town 5 years from now. residents (round to nearest whole number) Question 5 2 pts 9 1 0 De If f(x) = cos x - 2 tan x, then f' (2) = f' (5) = Question 6 3 pts 9 1 0 De Find the 34th derivative of the function f(x) = cos(x). The answer is function . Question 7 2 pts 1 1 0 De Use the chain rule to find the derivative of f(x) = 610x3 + 5x4 Type your answer without fractional or negative exponents. Use sqrt(x) for vx. f' ( 20 ) =Question 8 3 pts 1 1 0 Details Find the following using the table below. x 2 3 4 3 4 2 W 4 2 4 3 2 g'(x) 1 4 3 2 h'(4) if h(x) = f(x) . g(x) h' ( 4 ) if h(x) =(x) g(x) h' ( 4 ) if h (x) = f(g(x) ) . Question 9 3 pts 1 0 Details If f(t) = cos -1(6t), find f' (t). Use exact values. f' ( t ) =0 Question 10 I21 2 pts '0 1 G) Details d Given the equation below, find %. 48:r:5 + 10$64y + y6 = 37 _ " dz: ' Now, find the equation of the tangent line to the curve at (1, 1). Write your answer in mm + b format y=i