The diagram shows the curve $$$y=\frac{\ln x}{x^{4}}$$$ and its maximum point $$$M$$$. Find the exact coordinates of $$$M$$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_s21_qp_33 Year：2021 Question No：8(a)

Answer:

Use quotient or product rule
Obtain correct derivative in any form
Equate derivative to zero and solve for $x$
Obtain $x=\sqrt[4]{\mathrm{e}}$ and $y=\frac{1}{4 \mathrm{e}}$, or exact equivalents

Knowledge points:

3.2.1 understand the relationship between logarithms and indices, and use the laws of logarithms (excluding change of base)

Answer:

Knowledge points:

Solution:

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