For the given function, find (a) the equation of the secant line through the points where x has the given values and (b) the equation of the tangent line when x has the first value. y = f(x) =x- +x; x= - 4, x= -2 a. Which of the following formulas can be used to find the slope of the secant line? -2-(-4) f( - 2) + f( - 4) O A. f ( - 2 ) - f( - 4) O B. -2+(-4) f( - 2) - f( - 4) -2+ (-4) O C. -2-(-4) O D. f ( - 2 ) + f( - 4) The equation of the secant line is - 5x - 8 b. The equation of the tangent line at x = - 4 is y = -7x - 16Using the definition of the derivative, find f'(x). Then find f'(- 1). f'(0), and f'(3) when the derivative exists. f(x) = 4x" f(x + h) - f(x) To find the derivative, complete the limit as h approaches 0 for h lim h-0 Find f (x) using the definition of the derivative. f'( x) =] Find f'(- 1) if the derivative exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. F (- 1)= (Simplify your answer.) O B. The derivative does not exist. Find f'(0) if the derivative exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. f(0)= (Simplify your answer.) O B. The derivative does not exist. Find f (3) if the derivative exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. f (3) = (Simplify your answer.) O B. The derivative does not exist.Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and f'(3) when the derivative exists. f(x) = - x~ + 9x -2 f'(0) = (Type an expression using x as the variable.) Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. f(1) = (Type an integer or a simplified fraction.) O B. The derivative does not exist. Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. f'(2)= (Type an integer or a simplified fraction.) O B. The derivative does not exist. Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. f'(3)= (Type an integer or a simplified fraction.) O B. The derivative does not exist