Which of the following represent the instantaneous rate of change of the function fat X = a? Select all that apply. C] A. f'(a) C] B. fm'i'm-I'I) h C] c. Hmmma) Jpn J: C] D. the slope of the tangent to fat x = a C] E. the limit of the secant between X = a and x = (1+): as h approaches 0 C] F. the slope of the secant to fat x = a C] G. the derivative of fat x = a What is the slope of the line that is tangent to the function f(x) = 7x* +1 at x =-2? O A. -29 O B. -28 O C. -15 O D. -13Which of the following is an equation of the line that is tangent to f(x) = -x + 3x+ 9 at the point (-1,5) ? O A. y= x+6 O B. y= x+9 O C. y= 5x O D. y= 5x+10Given f(x) = x(x-3) +4, what is the derivative of fat a? O A. f (a)=1 O B. f'(a) =2a-3 O C. f(a) = 2a -7 O D. f (a)=a -3a+4