Question

Using the definition of the derivative, find the derivative of f(x)=sqrt(1-2x^2).

Answer 1

First off, what's the "definition of the derivative" formula? We'll use that as the framework of our approach to finding the derivative in this particular problem.

Answer 2

Formula is lim h-->0 f(x+h)-f(x)/h

Answer 3

Except that there should be parentheses in there, you're right:

lim h-->0 [f(x+h)-f(x)]/h

Answer 4

Here, our f(x) is Sqrt(1-2x^2):\[f(x)=\sqrt{1-2x^2}\]

Can you now write out f(x+h)?