Question

Find the slope of the line tangent to f(x) at x = 3. The graph of f(x) is shown below. Move the point on the curve to x = 3. Then plot two points on the tangent line. Finally, calculate the slope of the tangent line at x = 3. Answer 2 Points Keypad Points can be moved by dragging or using the arrow keys. Any lines or curves will be drawn once all required points are plotted and will update whenever a point is moved. < > Prev Next 10 (5.1) 10

Answer 1

0 The tangent line to the graph of f(x) is Passing through the points (1, 1) and (5,1) so the equation of the tangent line is 9-1=(1 114) (2-1) y-1=0 > y = 1 and so the slope of tangerst line is dy je Therefore, the slope of the tangent line at x=3 is mo. & Given that lim f(2)=-9 and lim g(a)=-4 a c а С Then consider tim [4f(x) - 69 (2)] = 4 lim fra) - 6 lim g(x) C ac X-C = 4(-9) - 6 (-4) =-36 +24 9-12