A curve has equation y = x^3 - x^2 Find the gradient of the line passing through the point (5,100) and the point on the curve for which x = 5 + h Give your answer in the form: p + qh + rh^2
My thoughts were f(5+h) = (5+h)^3 - (5+h)^2 so therefore f(x) = (5)^3 - (5)^2 then to sub into the first principles formula but idk if the f(x) part I am doing correctly? Then sub in the 5 into the answer
A curve has equation y = x^3 - x^2 Find the gradient of the line passing through the point (5,100) and the point on the curve for which x = 5 + h Give your answer in the form: p + qh + rh^2
My thoughts were f(5+h) = (5+h)^3 - (5+h)^2 so therefore f(x) = (5)^3 - (5)^2 then to sub into the first principles formula but idk if the f(x) part I am doing correctly?
Can someone help? Thanks!
You want a line passing through the two points (5,100) and (5+h, (5+h)^3-(5+h)^2) so ...