Monday

March 2, 2015

March 2, 2015

Posted by **Anoymous** on Thursday, November 4, 2010 at 9:41pm.

F(x) = root5(3 + 5 x + x^3)?

- derivative -
**bobpursley**, Thursday, November 4, 2010 at 9:45pmf(x)=u^k

f'= ku^(k-1) du

so here, that does something like this..

I assume root5 means the 1/5 power.

f'= 1/5( )^(-4/5) * (5 + 3x^2)

- derivative -
**Anonymous**, Thursday, November 4, 2010 at 9:45pm5/2root(3+5x+x^3) * 5+3x^2=

(5(5+3x^2))/(2root(3+5x+x^2)

- derivative -
**Jack**, Thursday, November 4, 2010 at 9:48pmIs that the 5th root of (3+5x+x^3)? If so, you can rewrite it as (3+5x+x^3)^(1/5). You have to use the chain rule to find this derivative. First set (3+5x+x^3)=z. You know have z^(1/5). Take the derivative of this. (1/5)z^(1/5-1)=(1/5)z^(-4/5). Now substitute (3+5x+x^3) back in for z. (1/5)(3+5x+x^3)^(-4/5). Take the derivative of the inside, which is (3+5x+x^3). You get (0+5+3x^2)=(5+3x^2). Multiple this with (1/5)(3+5x+x^3)^(-4/5). You get (1/5)(5+3x^2)(3+5x+x^3)^(-4/5).

- derivative -
**Jack**, Thursday, November 4, 2010 at 9:50pmAnonymous is wrong, don't use that. bobpursley and I are correct.

**Answer this Question**

**Related Questions**

Calculus - derivatives - Okay, I want to find the derivative of (x^x)^(x^x)... ...

calc - derivative of (x^3/6)+(1/2x)? i got (x^2/2)-(1/2x^2) is that correct? and...

math - Let f be a real value function and x Î Df then 0 lim ( ) ( ) h f x h f x...

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

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

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

Calculus--> bobpursley - How do you get m=0? from taking the second ...

math - Find the derivative of y=3x-2(4^x) Here is my attempt: Derivative of 3x ...

calculus - Differentiate both sides of the double angle identify sin 2x= 2 sin x...

Calc I - if f(t)=sqrt(4t+1) find f''(2) I got the first derivative to be: 1/2(4t...