SOLUTION: I need the derivative of : y = (x^(5/3)/5) - (x^(4/3)/2) The answer is supposed to be y' = (x^(2/3)/3) - (2x^(1/3)/3) Help me I want to know how to do this. Is there a

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: I need the derivative of : y = (x^(5/3)/5) - (x^(4/3)/2) The answer is supposed to be y' = (x^(2/3)/3) - (2x^(1/3)/3) Help me I want to know how to do this. Is there a       Log On


   

Question 550834: I need the derivative of :
y = (x^(5/3)/5) - (x^(4/3)/2)
The answer is supposed to be y' = (x^(2/3)/3) - (2x^(1/3)/3)
Help me I want to know how to do this.
Is there a solver on algebra.com to do this? Thank you
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I need the derivative of :
y = (x^(5/3)/5) - (x^(4/3)/2)
The answer is supposed to be y' = (x^(2/3)/3) - (2x^(1/3)/3)
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There are 2 terms of the form x%5En%2Fa
For %28x%5E%285%2F3%29%2F5%29, n = 5/3 & a = 5
dy/dx = %285%2F3%29%2Ax%5E%282%2F3%29%2F5+=+x%5E%282%2F3%29%2F3
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For 2x%5E%284%2F3%29%2F3%29, n = 4/3, a = 3
dy/dx = %284%2F3%29%2Ax%5E%281%2F3%29%2F2+=+2x%5E%281%2F3%29%2F3
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y' is the answer shown.