The equation of a curve is $$\(y=x^{-\frac{2}{3}} \ln x\)$$ for $$\(x>0\)$$. The curve has one stationary point. Find the exact coordinates of the stationary point. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No：9709_s21_qp_31 Year：2021 Question No：9(a)
Answer:
Use correct product rule or correct quotient rule
Obtain correct derivative in any form
Equate 2 term derivative to zero and solve for \(x\)
Obtain answer \(x=\mathrm{e}^{\frac{3}{2}}\)
Obtain answer \(y=\frac{3}{2 \mathrm{e}}\)
Obtain correct derivative in any form
Equate 2 term derivative to zero and solve for \(x\)
Obtain answer \(x=\mathrm{e}^{\frac{3}{2}}\)
Obtain answer \(y=\frac{3}{2 \mathrm{e}}\)
Knowledge points:
3.4.1 use the derivatives of together with constant multiples, sums, differences and composites (Derivatives of are not required.)
3.4.2 differentiate products and quotients
Solution:
Download APP for more features
1. Tons of answers.
2. Smarter Al tools enhance your learning journey.
IOS
Download
Download
Android
Download
Download
Google Play
Download
Download