Let f(x) = -2x2. a) Assuming h 0, simplify the difference quotient: f(x + h) - f(x) h , h 0. b) Find f'() by determining lim f(x th) - f(z) h -+0 h f'(x) = lim f(x th) - f(I) h-0 h c) Calculate f'(-2). d) Calculate f'(0). e) Calculate f'(1). f) Graph the function* f(x) = -2x, and draw the tangent lines** to the graph at points whose x-coordinates are -2 , 0, and 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 -3 Clear All Draw