12. Suppose f(x) is defined as shown below +3 if s 2 f(x) = 3x if x <2 Determine whether or not that f is continuous at 2. 13. Evaluate the following limit.
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...
3x + 4 for x 2 12. Let (x) 2-x for -1 <x51 . Find f(1/3) and (3/2). Sketch the graph of the -3x for x S-1 function. Determine the domain and range. (2,2,5, 3, and 3 points)
Question 8 f(x) = 3x2 + 2 Find f'(x). 0 sqrt(6x) O (3x^2 + 2)^3/2 O 1/sqrt(3x^2 + 2) O 3x/sqrt(3x^2 + 2)
11) Fin 12) If f(x) = 3x-5 and g(x) = x2 +3x-1, find f(f(x)), g(g(x)), f(g(x)), and g(f(x)) 17 find the eyart value of siny if x is an angle in standard position whose terminal side conta
Compute f (x) for f(x)=tan(e-3x + sin 4x + 2) a. f(x)=(-3e-3x + 4cos 4x) sec?(e-3x + sin 4x+2) b. None of the other answers oc f'(x) = sec?(-e-3x + 4cos 4x) d. f'(x) =(e-3x + sin 4x) sec?(e-3x + sin 4x+1)
16. Divide: X-3 1 [A] x2 + 3x + 2 [B] x3 +3x2 + 3x – 1 X-3 3 5 [C] x2 + 3x + 14+ [D] x2 +3x+9+ 20 x-3 [E] None of these X-3 е е
Question 7 (3 points) If f(x) = 2x - 7, find: a. f(3x +2) b.f-?x)
-----..on 12. The functions (*) s f(x) = 3x - 1 fy(x) = 4x and f(x) = 2x are linearly dependent. Show this by finding values of CC, and c,, not all zeros, such that ºf(x) + c, f(x) + e, f,(x) = 0.
Let f(x) = 3x + 2 and g(x) 3x + 2 and g(x) = 4x2 + 2x. After simplifying, (fog)(x) =