Simple differentition

[wellY--3]

hi,

I understand how to use the limiting chord process to find the gradient of a curve, but how do you do it when they ask for a certain point on the curve. for example

find the gradient using the limiting chord process on the curve y=x^2 +2 at the point (1,3)

If you sub the points into the equation it's no longer y= which you need to be able to use the formula they're wanting

 

[HallsofIvy]

Nothing to do with differential equations! I am moving this to "Calculus and Analysis".

"find the gradient using the limiting chord process on the curve y=x^2 +2 at the point (1,3)."

The gradient is given by
$$\lim_{h\rightarrow 0}\frac{f(1+h)-f(1)}{h}$$

With f(x)= x²+ 2, what is f(1)? What is f(1+h)?