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Torshi
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Homework Statement
([2x+1/4x+3]^2)
Homework Equations
Exponent and quotient rule
The Attempt at a Solution
Would this become:
2* (2x+1/4x+3) then do the quotient rule?
Torshi said:Homework Statement
([2x+1/4x+3]^2)
Homework Equations
Exponent and quotient rule
The Attempt at a Solution
Would this become:
2* (2x+1/4x+3) then do the quotient rule?
The order in which you apply the derivative rules can affect the accuracy and efficiency of your calculations. The exponent rule simplifies the expression before applying the quotient rule, making the process easier and more accurate.
Technically, yes, but it is not recommended. Applying the quotient rule before the exponent rule can result in a more complex and less accurate solution. It is best to follow the traditional order of operations for derivative rules.
No, there are exceptions to this rule. For example, if the expression contains a constant or a variable raised to a power other than x, you may need to apply the quotient rule first. It is important to carefully analyze the expression before deciding the order of derivative rules.
Yes, in some cases, you may need to apply both the exponent rule and the quotient rule to solve a derivative problem. It is important to carefully analyze the expression and use the appropriate rules in the correct order to obtain an accurate solution.
In some cases, you may be able to skip the exponent rule and only use the quotient rule. However, this is not recommended as it can lead to a more complex and less accurate solution. It is best to follow the traditional order of operations for derivative rules to ensure the most accurate results.