Mathematics Tutor - Specializing in Advanced Math for Special Needs

During their math lesson, Nikita and Bryce delved into related rates, implicit differentiation, and algebraic simplification. Bryce specifically concentrated on problems from exam two, which included tasks like finding derivatives and simplifying complex expressions. To reinforce their understanding, Nikita assigned a comprehensive review of exam two.

Nikita and Bryce dedicated their lesson to practicing various calculus differentiation techniques. Bryce diligently worked through examples and problems from his exam review sheet, specifically focusing on mastering the application of the chain rule, quotient rule, higher-order derivatives, and implicit differentiation. Their next meeting is scheduled to delve into related rates and tackle more exam-style problems.

During their recent lesson, Nikita and Bryce delved into advanced differentiation techniques, covering the chain rule, product rule, and quotient rule, alongside essential simplification methods. Bryce actively applied these calculus principles to a range of functions, tackling both composite structures and scenarios demanding repeated use of the chain rule. The pair also explored how to determine the tangent line to a graph using derivatives, concluding with practice problems assigned to Bryce for continued learning.

Nikita guided Bryce through applying the product and quotient rules in calculus, focusing on finding derivatives of functions and determining tangent line equations. Bryce actively practiced several problems, receiving valuable guidance on algebraic manipulation and ensuring correct formula application. They plan to continue exploring related topics in their next lesson.

Nikita guided a student through a lesson on rates of change, average and instantaneous velocity, and marginal analysis in economics. The learner, a student at DePaul University in River North, practiced calculating average velocity and instantaneous rates of change using given functions. They also worked through problems involving marginal profit. Nikita assigned practice problems related to these concepts for further review.

The two reviewed differentiation rules, including the power rule, constant multiple rule, and sum/difference rule. The student, who attends the University of California, Riverside, practiced applying these rules to various functions, including those with fractional exponents and radicals, and also worked on finding derivatives at specific points. Practice problems from the homework were assigned to reinforce these concepts, and two more lessons were scheduled before the exam.