Sketch the graph of f '(x) = x . Then sketch a possible graph of f. Is more than one graph possible?
Answer:
the graph of f’(x) is linear. and f (x) is the intergral of f’(x). (Because the f’(x) is the derivative of f (x). So when you intergrate f’(x)=x you get f(x). in this cae f (x)= (1/2) x^2 +C. Where C is a constant. so there are more graphs of f(x) possible