Derivative f(x+y)=f(x)+f(y)+x^2 y+xy^2 where lim┬(x→0)⁡〖(f(x))/x=1〗 IIT JEEE IB HL AP Math @MathematicsTutor
Derivative f(x+y)=f(x)+f(y)+x^2 y+xy^2 where lim┬(x→0)⁡〖(f(x))/x=1〗 IIT JEEE IB HL AP Math @MathematicsTutor
Uploaded April 2026 | Updated September 2026, 2 weeks ago
🌐 Global Math Institute — Learn. Think. Grow.
globalmathinstitute.com In this video, we solve a powerful functional equation problem to find the derivative f^' (x).
You’ll learn:
✔️ How to use a functional equation to derive f^' (x)
✔️ The role of the limit:
(lim⁡)┬(x→0) (f(x))/x=1

✔️ A clever substitution method using f(x+y)
✔️ Step-by-step strategy used in advanced calculus and olympiad-style problems
📌 Given:
f(x+y)=f(x)+f(y)+x^2 y+xy^2

👉 We use limits and algebraic manipulation to determine the exact form of f^' (x).
This is an excellent problem for students preparing for:
AP Calculus
IB Mathematics
Advanced high school and competitive exams
youtube.com/@MathematicsTutor
Learn From Anil Kumar: globalmathinstitute@gmail.com
#Calculus #Derivatives #FunctionalEquation #FindDerivative #MathTrick #AdvancedMath #APCalculus #IBMath #STEMLearning #MathHelp #MathConcepts #LearnMath #MathTeacher #ProblemSolving #ExamPrep

Understanding these techniques builds a strong foundation for continuity, derivatives, and calculus problem solving.
Perfect for students preparing for:
📘 AP Calculus
📘 IB Mathematics
📘 University Calculus
📘 STEM pathway programs
Sharpen your skills. Shape the future.
#Limits #Calculus #LimitOfFunction #MathTutorial #APCalculus #IBMath #STEMStudents #LearnCalculus #MathematicsTutor #AnilKumarMath #LearningBeyondMemorization
Derivative f(x+y)=f(x)+f(y)+x^2 y+xy^2 where lim┬(x→0)⁡〖(f(x))/x=1〗 IIT JEEE IB HL AP MathVerify Rolles Theorem with an Example and Try with Test Problem Calculus and BeyondFind Maximum for y=x(ln⁡x )^2 Logarithmic Function | MCV4U Calculus ChallengeIntegration by Substitution Made Simple for Calculus BeginnersArea of Right Triangle with Inscribed Circle Dividing Hypotenuse in x and y SAT Olympiad PracticeCan multiplication exist before subtraction in Evolution of Number System | Crack The NumbersFind Rate of Change of Bacteria Growth at t = 20 Calculus Exponential FunctionsHow to Find Cubic Roots of Complex Numbers IB HL Difficult Question Solved Part 1Fundamental Trigonometric Limits Explained |〖lim⁡〗_(x→0) sin⁡x/x, tan⁡x/x, and (1-cos⁡x)/x^2Exponential Decay Application with Derivatives Calculus IB AP MathTop 3 Mistakes in Calculus Exam| Improve Marks | MCV4U and Beyond for Excellent MarksSketching Graph From Given Conditions Made Simple Easy 4 Step Method in Calculus for MCV4U
Anil Kumar |

Derivative f(x+y)=f(x)+f(y)+x^2 y+xy^2 where lim┬(x→0)⁡〖(f(x))/x=1〗 IIT JEEE IB HL AP Math

SHARE TO X SHARE TO REDDIT SHARE TO FACEBOOK WALLPAPER