Thursday

August 28, 2014

August 28, 2014

Posted by **AJ** on Friday, July 23, 2010 at 10:48am.

a. Does f(x) exist at x=0?

b. Does f'(x) exist at x=0?

c. Explain why integral (from 0->1) f(x)dx does exist.

THANK YOU.

- Math (easy question) -
**bobpursley**, Friday, July 23, 2010 at 11:38ama) no, one is not allowed to have zero in the denominator.

b. f(x)=1/sqrt(x)

f'= -1/(2 x^{-3/2}) yes it exists

c. if an endpoint does not exist, one cannot integrate it.

- Math (easy question) -
**AJ**, Friday, July 23, 2010 at 11:51amThank you so much! but are you sure for part c.?

**Related Questions**

calculus help please - hi what is lim as x reaches one of the function x/LN(x) ...

Calculus - A piecewise function is given. Use the function to find the indicated...

calculus - A piecewise function is given. Use the function to find the indicated...

Check my CALCULUS work, please! :) - Question 1. lim h->0(sqrt 49+h-7)/h = ...

Calculus - Find the volume of the solid whose base is the region in the xy-plane...

Calculus, please check my answers! - 1. Evaluate: lim x->infinity(x^4-7x+9)/(...

improper integral - can any one explain how to evaluate this improper integral i...

Calculus - An important problem in mathematics is that of root finding: that is...

Calculus. Limits. Check my answers, please! :) - 4. lim (tanx)= x->pi/3 -(...

Calculus help, please! - 1. Evaluate: lim x->infinity(x^4-7x+9)/(4+5x+x^3) 0...