Let f be a differentiable function such that f(3) = 2 and f'(3) = 5....
Let f be a differentiable function such that f(3) = 2 and f'(3) = 5. If the tangent line to the graph of f at x = 3 is used to find an approximation to a zero of f, that approximation is?
Answer & Explanation
Find an approximate value of a zero of f(x) near a=3. That is to say, you're looking for some value c such that f(c)=0, but all you have at your disposal is the linear approximation to the function.
You know that if c is a zero of , f(c)=0, so you get
An approximate zero of f(x) is x=1.6.