The course teaches the derivative of trigonometric functions such as sec(x), tan(x), sin(x), cos(x), and cot(x) using various rules and identities. Students will learn how to find derivatives using the quotient rule, power rule, chain rule, and the definition of derivatives. The course covers topics like finding the equation of tangent lines to trigonometric functions and applying cofunction identities. The intended audience for this course is individuals interested in calculus and trigonometry who want to deepen their understanding of derivatives of trigonometric functions.
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
