Thursday

December 18, 2014

December 18, 2014

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

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 4:46pmThis 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**

MoRe HeLp PlEaSe!! (calc) - Also can I get some help with this LONG, TIRESOME ...

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 (...

calculus - how do not understand how to find a deriviative of this function?Do i...

Math, Calculus - Find the derivative of the function. y= xcosx - sinx What's the...

calculus - I have been asked to solve this two different ways. The first way is...

Chain Rule - Any help would be much appreciated with the steps involved in each ...

calculus - how do not understand how to find a deriviative of this function?Do i...

Calculus - Can anyone explain how to use the chain rule and power rule together ...

derivative - 41) Find the derivative. h(x)= (3x^2 + 1)^3 / (x^2 - 1)^4 This is ...