Q: Find the derivative of the function f(y) = [(y^2) / (y - 1)]^4
Can someone explain how to solve this?
Can someone explain how to solve this?
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Transform the functions and use the chain rule to find the derivative:
f(u) = u^4
u(y) = y^2 / ( y - 1 )
df / dy = ( df / du ) * ( du / dy )
f(u) = u^4
u(y) = y^2 / ( y - 1 )
df / dy = ( df / du ) * ( du / dy )
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Use the Chain Rule: Bring down the 4, leave the inside alone and change the power to 3. Then multiply by the deriv of y^2/(y-1), using the Quotient Rule to find that derivative.
Jen
Jen