Chain Rule

Overview

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Learn the chain rule for derivatives in this 30-minute video tutorial. Master techniques for solving complex derivative problems involving trigonometric, exponential, and algebraic functions. Practice applying the chain rule to various examples, including derivatives of composite functions, rational expressions, and combinations with other differentiation rules like the product rule. Gain proficiency in using the chain rule for real-world calculus applications and prepare for advanced mathematical concepts.

Syllabus

Chain rule for derivative.
derivative of 1/(z^2+1), chain rule.
derivative of cos(a^3+x^3), chain rule.
derivative of x*e^(-kx), product rule and chain rule.
derivative of ((x^2+1)/(x^2-1))^3.
derivative of sqrt(1+2e^(3x)).
derivative of 5^(-1/x), chain rule.
derivative of r/sqrt(r^2+1).
sect 3.4 #31, derivative of e^(t*sin(2t)).
Sect 3.4 #47, derivative of cot^2(sin(θ)).
derivative of sqrt(5x+1), use the chen lu.
derivative of 4^(c/x), use the chen lu.
derivative of (2x-3)^4*(x^2+x+1)^5, use the chen lu.
derivative of sqrt(x/(x+1)), use the chen lu.
first and second derivative of cos(sin(3x)), use the chen lu.
sect 3.4 #49.