# Answer to Question #10414 in Calculus for Taher Ali Habib

Question #10414

If F(x)〓x.x and G(x)〓|x|, then both FoG and GoF are differentiable at x〓0 being equal to x.x (or x squared). But G(x) is not differentiable at x〓0. Does this contradict the chain rule requirements where both the functions must be differentiable at their respective domain points?

Expert's answer

It doesn't contradict, because the condition in rule is sufficient, so if it's

held the superposition will be differentiable. If it's not held, we can't

definitely say something about the result it may be differentiable or may not,

it depends on certain functions.

held the superposition will be differentiable. If it's not held, we can't

definitely say something about the result it may be differentiable or may not,

it depends on certain functions.

Need a fast expert's response?

Submit orderand get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

## Comments

Assignment Expert07.08.13, 17:24You're welcome. We are glad to be helpful.

If you really liked our service please press like-button beside answer field. Thank you!

Taher Ali Habib30.07.13, 14:15Thank You so much. :) I completely forgot the fact that conditions may either be necessary or sufficient

## Leave a comment