(3x^2-5x)/(2x-2)^2 , to find the derivative of this function you can use:Review LaterOnly the Quotient RuleThe Quotient and Product RulesThe Quotient and Chain RulesOnly the Chain Rule
Question
(3x^2-5x)/(2x-2)^2 , to find the derivative of this function you can use:Review LaterOnly the Quotient RuleThe Quotient and Product RulesThe Quotient and Chain RulesOnly the Chain Rule
Solution
To find the derivative of the function "(3x^2-5x)/(2x-2)^2", you can use the Quotient and Chain Rules.
Here's a step-by-step guide:
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Identify the numerator (u) and the denominator (v). In this case, u = 3x^2 - 5x and v = (2x - 2)^2.
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Find the derivative of u and v. The derivative of u (u') is 6x - 5. The derivative of v (v') can be found using the chain rule. The derivative of (2x - 2)^2 is 2*(2x - 2)2 = 4(2x - 2).
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Apply the Quotient Rule, which states that the derivative of u/v is (vu' - uv') / v^2.
So, the derivative of the function is [(2x - 2)^2 * (6x - 5) - (3x^2 - 5x) * 4*(2x - 2)] / (2x
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