How do you differentiate #y = (2x^4 - 3x) / (4x - 1)#?
Christopher AllersHave a look:
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Evelyn AgardTo differentiate ( y = \frac{{2x^4 - 3x}}{{4x - 1}} ), you can use the quotient rule. The quotient rule states that if you have a function in the form ( \frac{{u(x)}}{{v(x)}} ), then its derivative is ( \frac{{u'(x)v(x) - u(x)v'(x)}}{{[v(x)]^2}} ). So, applying the quotient rule to the given function, the derivative is:
[ y' = \frac{{(8x^3 - 3)(4x - 1) - (2x^4 - 3x)(4)}}{{(4x - 1)^2}} ]
Simplify the numerator and denominator to get the final derivative.
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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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