Learn the derivatives of trigonometric functions in this comprehensive 30-minute video tutorial. Master techniques for finding derivatives of complex trigonometric expressions using the quotient rule, power rule, and chain rule. Explore proofs for the derivatives of sine and cosine functions, and understand the application of cofunction identities. Practice solving various problems, including derivatives of composite functions involving trigonometric elements. Gain proficiency in applying these concepts to real-world scenarios, such as finding equations of tangent lines to trigonometric curves at specific points.
Overview
Syllabus
sect 3.3 #5, derivative of sec(x)*tan(x).
sect 3.3 #9, derivative of x/(2-tan(x)).
sect 3.3 #13, derivative of t*sin(t)/(1+t).
Derivative of sin(x) and cos(x), PROOF.
derivatives of tan(x) and cot(x), quotient rule, cofunction identities.
derivative of sec(x) and csc(x), quotient rule, power + chain rule.
derivative of sin(x) by using the definition of derivative.
derivative of tan(x), using quotient rule.
derivative of sec(x), quotient rule.
derivative of csc(x), using quotient rule.
trigonometric derivative with quotient rule, cos(x)/(1-sin(x)).
equation of the tangent line to y=sec(x) at (pi/3, 2).
Taught by
blackpenredpen
