Introductory Derivative Rules and Marginal Analysis
Learning Objectives
- Introductory derivative rules
- Marginal analysis
Exercises
1.
\(\dfrac{df}{dx}=-54x^{-10}-2^x\ln(2)+\dfrac{4}{x\ln(3)}\)
2.
\(g'(x) = \dfrac{70}{9}x - \dfrac{4}{3} - \dfrac{4}{9}x^{-3}\)
3.
- \(p'(0)=0\)
- \(d'(-4) = \dfrac{599}{16}\)
4.
\(R'(200) = 33\)
Interpretation: "When 200 pairs of shoes are sold, the revenue is increasing at a rate of $33 per each pair of shoes."
Interpretation: "When 200 pairs of shoes are sold, the revenue is increasing at a rate of $33 per each pair of shoes."