Math Problem Statement
On considère la fonction numérique h de la variable réelle x définie sur ]0; +∞[ par : h(x) = (ln(x))^3 - 3ln(x) et sa courbe représentative dans un repère orthonormé. L'exercice comporte plusieurs parties comme la vérification de certaines limites, le calcul des dérivées, et l'étude du tableau de variations de la fonction.
Solution
It looks like you've uploaded an image of a math exercise involving a function . The exercise involves multiple parts, including limits, derivatives, solving an equation, and analyzing the function’s variations.
Would you like to solve these problems step-by-step or focus on a specific part? Let me know what you'd like to start with!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Limits
Derivatives
Function Variation
Logarithmic Functions
Formulas
h(x) = (ln(x))^3 - 3ln(x)
lim(x→∞) ln(x)^3 / x
h'(x) = 3x * (ln(x)-1) * (ln(x)+1)
Theorems
Limit Theorem
Derivative Rules
Monotonicity Test
Suitable Grade Level
Grades 11-12