7 questions to answer

Graph the function f(x) = - 4x and draw the tangent lines to the graph at points whose x- coordinates are - 2, 0, and 1. The parabola tool requires you to select the vertex as your first point. Clear All Draw: Find the difference quotient f(x + h) - f(z) h Find f' (x) by determining lim f ( z + h) - f(z) h - For the next 3 questions, enter an exact answer. Find f'( - 2) (This slope should match the tangent line you drew above.) Find f' (0) Find f'(1) Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 5x2 + 7x + 3 at x = 4. Enter an exact answer. If f(z) = 7 2. find f'(9). Enter your answer exactly as a reduced fraction Question Waln. mud.. ..... q 0.8 1.2 1.6 2 2.4 h(q) 486 339 236 165 115 Estimate h' (1.6) using the table above. Use points on either side of the given point f estimate. Round to 3 decimal places if necessary. h' (1.6) ~ Find the equation of tangent line to the curve y = - at the point ( 5, 5 ) Express the equation of the tangent line in the form y - ma + b. Simplify completely, entering only reduced fractions. If f(z) = 6+ 7x -4x2, find f' ( - 3). Oilaction 11 - 1. If f(x) = 4x2 - 6x + 3, find f'( - 5). Use this to find the equation of the tangent line to the parabola y = 4x - 6x + 3 at the point ( - 5, 133). The equation of this tangent line can be written in the form y = ma + b where m is: and where b is