Let f(x) = -2x². a) Assuming ħ + 0, simplify the difference quotient: f(x+h)-f(x) h b) Find f'(x) by determining lim h 0 f'(x) lim h 0 c) Calculate f'(-2). 8

d) Calculate f'(0). 0 -2 f(x+h)-f(x) h Clear All Draw: e) Calculate f'(1). -4 f) Graph the function f(x) = -2x², and draw the tangent lines** to the graph at points whose x-coordinates are -2, 0, and 1. Submit Question -1 "To graph f(x), use the parabola tool to select the vertex first and then click any other point on the parabola. **To graph the tangent lines, use the line tool to select the point of tangency first and then click any other point on the line. 10+ 94 8- 3 -4x-2h✓ o , h / 0. f(x+h)-f(x) h 3 4 3. 2- + H -3- -3. o ✓0 -74 ✓of -4x -94 /N