Derivative of 14x^2: Quick Question and Solution

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SUMMARY

The derivative of the function 14x² is definitively calculated as 28x. The discussion emphasizes that while the chain rule is applicable in all cases, for this specific function, the derivative can be directly derived by applying the power rule. The power rule states that the exponent is brought in front, resulting in 28x, while the derivative of x is 1, confirming that the chain rule still holds true in this scenario.

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Homework Statement



What is the derivative of 14x^2?


Homework Equations





The Attempt at a Solution



Do i bring the 2 in front to get 28x? Or do I use the chain rule?
 
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Cacophony said:
Do i bring the 2 in front to get 28x? Or do I use the chain rule?

28x is the correct answer. Technically you always use the chain rule including in this case. Think about it: derivative of (14x^2) is 28x and derivative of x is 1. So by chain rule, the answer is (28x)(1) = 28x.
 
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