Can you please help me with my calculus test corrections? Please ignore my work and provide a clear solution to each of the questions. Thank you so much!

NO CALCULATOR 1.) At each point indicated on the graph determine what kind of value is the derivative (positive, negative etc) a - positives - Gositive C - positive e - hasitive 6 - negative - 3 2. ) Let f (x ) = = a.) Use the definition of the derivative to calculate the derivative of f. BRO = (1)4 2 - 3 8 60 = 4 X2 b.) Find the slope of the tangent line to the graph of f at the point x = -2. 1 ( 2 ) c.) Write an equation of the tangent line in part b. $2 = 1 ( x+2 ) 4 = - 2 Pick the correct answer. If p(x) = (3x - 4)100 and k is a natural number, then dot P (x) = 0. 9 for all values of k. b.) for k 2 100 c.) for k > 100 100( 3x-4) for k > 3 e.) K P(x) # 0 for all values of k - 3