How do you find the derivative using quotient rule of #[x(3x+5)] / (1-x^2)#?
#f'(x)=(5x^2+6x+5)/(1-x^2)^2#
First, simplify the numerator.
Now, according to the quotient rule,
Find each derivative through the power rule.
Distribute and simplify.
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To find the derivative of using the quotient rule, you follow this formula:
where and .
Now, find the derivatives of and :
Finally, plug these values into the quotient rule formula:
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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