Basic Derivative Recall in Optimization

00:00 3 marks

  • Build Confidence
  • SL
  • Tier 1
  • Power rule
  • Derivatives
  • Finding minimum value

Consider the function \(f(x) = x^2 – 8x + 15\).

(a) Find \(f'(x)\).

(b) Determine the value of \(x\) for which \(f(x)\) is minimized.

Hint Hint

Hint

For part (a), apply the power rule. For part (b), set the derivative equal to zero and solve for \(x\).

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Complete Answer

a) \(f'(x)=2x-8\); b) \(x=4\)

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