Lecture 41 | Q5:Implicit Differentiation Exercise 3.5| 2nd Year Mathematics | Unit 3 Differentiation

In this lecture, we solve *Exercise 3.3, Question 5* using the method of *implicit differentiation* to find \(\frac{dy}{dx}\). 📚 *Questions Covered:* *a)* \(x^2+y^2=25\) *b)* \(xy(2x+3y)=2\) *c)* \((x+y)^3+3y=3\) *d)* \(\frac{1}{y}+\frac{1}{x}=1\) The lecture explains each step clearly, including the use of the **product rule, chain rule, and implicit differentiation**. 🎓 *Class:* 2nd Year Mathematics 📖 *Unit 3:* Differentiation 📝 *Topic:* Implicit Differentiation 📌 *Question:* Exercise 3.3, Q5 👨‍🏫 *KP Mathematics by Ijaz Rahim* Subscribe to *KP Mathematics by Ijaz Rahim* for more lectures, solved exercises, MCQs, and mathematics preparation for Class 9th–12th, ETEA, NTS, and other competitive exams. #ImplicitDifferentiation #Differentiation #Class12Mathematics #SecondYearMath #KPMathematics #IjazRahim #Maths #dybydx