3(h)-2 b.c lim f(x + h)-f(x) h0 h 3. Choose only ONE of the following. 8-88 g'(x)=8(x)f'(x)-f(x)g'(x) [g(x)F 3/4 Given f(x) = 2x3 + 3x determine the point(s) at which the slope of the tangent is 36. f'(x)=6x+6x 36 = f'(x) 36 = 646 88-888 For Level 4+ Find the equation of the tangent line to the function f(x)=3sin(x) where x=3/4. What is another point on the function that would have the same slope? Explain your thinking. f'(x) = g(x)h(x)+g(x)4'bx) 3(cos x) = 3 cos x Every new c of The fl period, the of tan will equal. B The slope at thats point is ~3. X = -1 @ x = -10 0 f'(4) = 3 cos (34) the slope of tergent = 36 3 =2x+1 (4.) Determine algebraically (using rules) the derivatives of: a. f(x)=(2x+1)(x-3) b. g(x) = cotx =x -3 f'(x) = 2 -2x g'(x) h(x)+ g(x) h(x) =2(x25)+(2x+1)(2x) 2x -6 +4x+2x f'(x) = 6x+2x-6 g'(x) = tan x I cosxsinx on =finited pg 9. 4x h(x)=- x-2 f(x)=(x+2) d. (x+3)(2x-1)