derivative
posted by Anoymous .
How do you find the derivative of
F(x) = root5(3 + 5 x + x^3)?

derivative 
bobpursley
f(x)=u^k
f'= ku^(k1) 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
5/2root(3+5x+x^3) * 5+3x^2=
(5(5+3x^2))/(2root(3+5x+x^2) 
derivative 
Jack
Is 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^(1/51)=(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
Anonymous is wrong, don't use that. bobpursley and I are correct.
Respond to this Question
Similar Questions

Chain Rule
Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x ã3x … 
calc
derivative of (x^3/6)+(1/2x)? i got (x^2/2)(1/2x^2) is that correct? 
Calculus> bobpursley
How do you get m=0? from taking the second derivative? 
Calculus
Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x ã3x … 
Calculus
Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x /3x … 
Calculus  derivatives
Okay, I want to find the derivative of (x^x)^(x^x)... Well, I already went through the process of finding the derivative of just x^x (I used ln to do this). This is what I found... dy/dx = x^x(lnx+1) So now I want to find the derivative … 
math
Let f be a real value function and x Î Df then 0 lim ( ) ( ) h f x h f x ® h +  when it exists is called A) The derivative of f at a B) The derivative of f at h C) The derivative of f at x D) The derivative of f at x = h 
math
Find the derivative of y=3x2(4^x) Here is my attempt: Derivative of 3x is 3 Derivative of 2 is 0 derivative of 4^x is 4^x(ln(4)) Answer: 12^x(ln(4)) Is this correct? 
Calculus
1.) Find the derivative of tan (sec x). 2.) Find the derivative if 1/x in four ways, using the limit process, power rule, quotient rule and implicit differentiation. 3.) Show that the derivative of sec^1 x is 1/(x*sqrt(x^2 1)). … 
Math Derivative
Find derivative of f(x)=g(h(x)) Would the derivative be something like: g'(h(x))*h'(x) ?