Is the Derivative Calculation Correct Despite the Notation Error?

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SUMMARY

The discussion centers on the derivative calculation of the function f(x) = ((2x^3)/5) - x^2 + 3/8. The correct derivative, f ' (x), is calculated using the power rule and summation rule, yielding f ' (x) = ((6x^2)/5) - 2x. A notation error is identified, where the differentiation should be denoted as d/dx instead of d/dt. This highlights the importance of accurate notation in calculus.

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  • Understanding of the power rule in calculus
  • Familiarity with the summation rule in calculus
  • Knowledge of derivative notation, specifically d/dx
  • Basic algebraic manipulation skills
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ladyrae
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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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Looks fine from here.
 
Except, it should be d/dx...not d/dt !
 

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