Derivative of (1 − x^2/3)^3/2?
f(x) = (1 − x^2/3)^3/2
What is the derivative of this function?
Update:ough! I see what I did wrong!
But now i got:
3/2(1-x^2/3)^1/2*(-2/3x^ -(1/3))
and then it becomes
-sqrt(1-x^2/3)/x^(-1/3)?
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Verified answer
using chain rule
bring the 3/2 down, than 3/2 minus 1
=3/2(1-x^2/3)^1/2
then you find the derivative of what's inside the parentheses
=3/2((1-x^2/3)^1/2)(2/3x^-1/3)
remember that x^n
derivative is x^n-1