Posted by **Alex** on Thursday, May 22, 2008 at 8:09pm.

Can anyone explain how to use the chain rule and power rule together to find the first derivative and please do these examples.

f(x) = -3x^4/(sqrt(4x-8))

g(x) = ((2x+5)/(6-x^2)^4

g(x) = (8x^3)(4x^2+2x-3)^5

y = [1/(4x+x^2)^3]^3

Thank you so much!

- Calculus -
**Reiny**, Thursday, May 22, 2008 at 10:09pm
I will give you the 'first-line' derivatives of the first two questions

a) f'(x) = [(4x-8)^(1/2)(-12x^3) - (-3x^4)(1/2(4x-8)^(-1/2)(4)]/(4x-8)

= ....

b) I see you had a double bracket at the front, but one bracket is not closed.

Did you mean [(2x+5)/(6-x^2)]^4 ?

c) g(x) = (8x^3)(4x^2+2x-3)^5

g'(x) = 5(4x^2+2x-3)^5(8x+2)(8x^3) + 24x^2(4x^2+2x-3)^5

= ....

d) y = [1/(4x+x^2)^3]^3

y = (4x+x^2)^-9

y' = -9(4x + x^2)^-10(4+2x)

= ....

## Answer this Question

## Related Questions

- calc - find the derivative of y = sqrt(9 - 16x) Use the chain rule. First find ...
- Calculus - How do I use the chain rule to find the derivative of square root(1-x...
- Math (Calculus) - Hello, Could somebody please help me with the following ...
- Calc - I'm creating a "calculu for dummies" project book. I've already done most...
- Calculus - 1.) Find the derivative of tan (sec x). 2.) Find the derivative if 1/...
- Math, Calculus - Find the derivative of the function. y= xcosx - sinx What's the...
- Calc I - How do I find the derivative for the sqrt(sin(e^(x^3)*cos(x)))??? I ...
- MoRe HeLp PlEaSe!! (calc) - Also can I get some help with this LONG, TIRESOME ...
- calculus - Please help. Applying the chain rule, how do I find the derivative of...
- Math - Calculus Question. - hey can someone explain to me the relationship ...

More Related Questions