Calculus
posted by Brett .
Differentiate
f(x)=(x^(3)8)^(2/3)
Please Show Work

Just use the good old chain rule.
f = (x^{3}8)^{2/3}
f' = 2/3 * (x^{3}8)^{1/3} * 3x^{2}
f' = 2x^{2}/(x^{3}8)^{1/3}
Respond to this Question
Similar Questions

calc
differentiate y=ln(x^5e^x) Please show the steps in solving change it to y=ln u dy/dx= dy/du * du/dx and of course, dy/du= 1/u I will be happy to critique your work. 1/4x * 4/4x = 4/x Is this correct? 
trigo help!
1. differentiate cos(3/x) 2. differentiate sin(4/x) 3. differentiate 3/{sin(3x+pi)} 4. differentiate pxsin(q/x)where p and q are constants. 5. differentiate xsin(a/x) where a is constant 6. differentiate sec^3(3x^2+1) 
calculus
differentiate y=x^2x. show all work 
Maths  Calculus
Can anyone help with this...I need to find the derivative of the functions below. If possible please show working so I can try and understand? 
Maths  Calculus
Can anyone help with this...I need to find the derivative of the functions below. If possible please show working so I can try and understand? 
Calculus
Use the first principles definition to differentiate y = 5x^2. Please show all your work! 
Calculus
How do I differentiate ln (2X^2  12X + Y^2 10Y) and the second differentiate it? 
Calculus  please check my work
Differentiate each function a) y = 3x^2 + 5x  4 b) f(x) = 6/x  3/(x^2) c) f(x) = (3x^2  4x)(x^3 + 1) the answers i got for each was: a) y'= 6x + 5 b) f'(x)= 6/x^2 + 6/x^3 c) f'(x)= 15x^4 + 6x  16x^3  4 please double check and … 
Calculus
I'm having problems with this one. Can't get the right answer. Differentiate the following using the chain rule. f(x) = squareroot(x^2+1)/(3x+1) I know that I can take the whole thing and put it to the (1/2) and differentiate that … 
calculus
Iamhaving a really hard time trying to understand this question. Can someone please show me how to work this question. Give the following polynomial, find a. the zeros and the multiplicity of each b. where the graph crosses or touches …