SOLUTION: Derivative of this function please h( x) = -2x^2/x-1 Thanks

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Question 637403: Derivative
of this function
please
h( x) = -2x^2/x-1
Thanks
Found 2 solutions by solver91311, ewatrrr:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the quotient rule:



then



Use the power rule to determine and

Just put the pieces together and then simplify the expression.

John

My calculator said it, I believe it, that settles it
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

h(x) = -2x%5E2%2F%28x-1%29   ||using the Quotient Rule

h '(x) = +%28%28x-1%29%2A%28-4x%29+-+%28-2x%5E2%29%2A1%29%2F%28x-1%29%5E2

h '(x) = +%28%28-4x%5E2+%2B+4x%29+%2B2x%5E2%29%2F%28x-1%29%5E2

h '(x) = +2x%28+2+-+x%29%2F%28x-1%29%5E2