Thread: Approximate function using first and second derivative?

I know how to approximate the value of a function by (a) plugging in values and (b) using a linear approximation, i.e.

But, how would one approximate the change in a function, i.e. of when changes from 0.90 to 0.92 by using the first-order and second order derivatives?

Any insights would be much appreciated!

Originally Posted by horan

I know how to approximate the value of a function by (a) plugging in values and (b) using a linear approximation, i.e.

But, how would one approximate the change in a function, i.e. of when changes from 0.90 to 0.92 by using the first-order and second order derivatives?

Any insights would be much appreciated!

You have:



Hence:



CB