Is the Derivative Calculation Correct Despite the Notation Error?

Thread starter ladyrae
Start date Jun 12, 2004
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Power Rules Summation

AI Thread Summary

The derivative of the function f(x) = ((2x^3)/5) - x^2 + 3/8 is calculated using the power rule and summation rule, yielding f ' (x) = ((6x^2)/5) - 2x. However, there is a notation error in the differentiation process, as it should be d/dx instead of d/dt. Despite the notation mistake, the derivative calculation itself is correct. The discussion emphasizes the importance of accurate notation in calculus. Overall, the derivative is confirmed to be simplified correctly.

Jun 12, 2004

ladyrae

Is this simplified?

Use the power rule and the summation rule to find f ' (x) and simplify where possible

f(x) = ((2x^3)/5) - x^2 +3/8

f ' (x) = d/dt(((2x^3)/5) - x^2 +3/8) = ((6x^2)/5) - 2x

Is this the right answer?

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Jun 12, 2004

e(ho0n3

Looks fine from here.

Jun 13, 2004

Gokul43201

Staff Emeritus

Science Advisor

Gold Member

Except, it should be d/dx...not d/dt !

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