We have the function f(x) = x^2.
The points given to us are (t , f(t)) and (t+h , f(t+h))
or (t , t^2) and ((t + h) , (t + h)^2)
The gradient between these points is
=>[ (t + h)^2 - t^2] / [ t + h - t]
=> (t + h - t)(t + h + t) / h
=> 2t + h
The required gradient is 2t + h
See eNotes Ad-Free
Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.
Already a member? Log in here.