Posted by **Elizabeth** on Tuesday, October 7, 2008 at 4:20pm.

How do I use the chain rule to find the derivative of

square root(1-x^2)

also, are there any general hints or tips for determining when the chain rule and product or quotient rule should be used?? i'm having trouble discerning when both the chain rule and either the quotient or product rules are necessary to solve the problem.

thank you.

- Calculus -
**Reiny**, Tuesday, October 7, 2008 at 4:46pm
This is often a toss-up

generally if you have a single power, such as yours, use the chain rule.

I you see a multiplication (hence product) use the product rule, etc.

at times you have to use one rule while applying another.

e.g. y = (3x+5)(2x-5)^5

is primarily a product rule, but while you are doing that you will have to use the chain rule for the power.

for your question first change the root sign to an exponent of 1/2

y = (1-x^2)^(1/2)

dy/dx = 1/2(1-x^2)^(-1/2)(2x)

= x(1-x^2)^(-1/2) or x/√(1-x^2)

## Answer this Question

## Related Questions

- Math, Calculus - Find the derivative of the function. y= xcosx - sinx What's the...
- MoRe HeLp PlEaSe!! (calc) - Also can I get some help with this LONG, TIRESOME ...
- Calculus - Match the rule with the title: ____ 3. d/dx [f(x)/g(x) ]=(g(x) f^' (x...
- calculus - how do not understand how to find a deriviative of this function?Do i...
- calculus - how do not understand how to find a deriviative of this function?Do i...
- Calculus - y= [(x-3)/(x^2+1)]^2 find the derivative. I know i would start off ...
- calculus - Please help. Applying the chain rule, how do I find the derivative of...
- Calculus/Derivatives - In addition, can you walk me through how to get the ...
- Math - Calculus Question. - hey can someone explain to me the relationship ...
- Differentiation - How do you find f'(x), f''(x) of f(x) =ln (1-x) IF f(x) = ln (...

More Related Questions