Posted by **Andy** on Friday, May 24, 2013 at 4:18pm.

f(x)is a function differentiable at x=1 and f'(1)=1/8.

what is the value of f(x)-f(1)

f'(x) denotes the derivative of f(x)

- Maths -
**MathMate**, Friday, May 24, 2013 at 7:35pm
For x *near* 1, you can use linearlization, which is

f(x)=f'(1)(x-1)+f(1)

=(1/8)x+f(1)

Therefore, within the errors of the linearization,

f(x)-f(1) = (x-1)/8 (approximately)

## Answer This Question

## Related Questions

- Algebra - f(x) is a function differentiable at x=1 and f(1)=1/8. What is the ...
- Calculus - Decide if the following function f(x) is differentiable at x=0. Try ...
- Math- steve? reiny? - 1. Let f(x)=x^5 + 2x^3 + x - 1 Find f^-1(3) and (f^-1)'(3...
- Last two CALC questions. :) - 8. If f(x) = sin(7 − 5x), find f′(&#...
- Math11 - Hello, I dont know how to do this, please help. Thank you. 1).Does the ...
- Calculus - Assuming that f and g are functions differentiable at a (though we do...
- mean value theorem - Show that the function f(x)=1-|x|, [-1,1] does not satisfy ...
- Simple Calculus - If f(x)=(x+1)^3(x^2-1)^2, what is the value of f'(2)? Details...
- Calculus - Given f'(x)=9/2x(3x^2+2)^1/2 (this is the derivative of y= sqrt[(3x^2...
- calc again! - i got answers for this one, but i feel like i did something wrong...

More Related Questions