For part 1 just the answers with a little bit of steps. Question 1 (1 point) If x2 + y2 = 25 then >' is ( a) -2x - 2y O c) 2x + 2y O d ) # Question 2 (1 point) If y = 4x3 - 2x3 + 5x-6 then x7 is O a) 12x 3 - 4X + 5 O b) 24x - 4 O c ) 242 7 - 42 O d) undefinedQuestion 3 (1 point) N/M Find the slope of the tangent to the curve > = sin 2x - cos2x at X = O a) 1 Ob) o O c ) - 2 O d) 4 Question 4 (1 point) If A(x) = cos (x), find f' #). O a) - 1 Obl *2 O c 1 O d) ;Question 5 (1 point) If f(x) = 2sin 3x, find f' a ) 2 ( b) 3 O d - 6 O d) 6 Question 6 (1 point) If A(x) - sin( x* + 1 ), find /'(1). O a) 0.417 O b) -0.832 O d 1 O d) -0.654Question 7 (1 point) If fix) = thu, find f'(0) O al o O b) 1 Ode O d ) . Question 8 (1 point) Determine the value of x in the equation Ix = 1. O a) 1 O blo Oce O d) 10Question 9 (1 point) Find /'(x) if Ax) = 28". O a) 2e O d) x In2 Question 10 (1 point) Simplify the expression In( 3), O b) 3x O c) in ( 3x) O d) 3xFor part 2 show your work with steps. "* Note: For these questions, all answers must be determined algebrallhr. That is, NOT determined by analyzing a graph of the funetlon. You can graph the function to check your results. but an algebraic analysis. using the techniques covered in the lessons must be shown. 1. Determine the critical points for the function y = 1' x3+1 2. Find the value off: if the functiony = x2 + lcx + 72 has a local minimum at x = 4. 3. For the function 99;) = 53::3 3x5 determine: b C. d The v-interceptts} . The x-intercept{si or zeros of the function The critical points (in?) where g'{x} = l} . The intervals over which the function is increasing and where it is decreasing, through an analysis of the first derivative Use the interval analysis from part d above to classify the critical points (so?) where g'{x) = D as a local maximum, local minimum or neither