This course covers the learning outcomes and goals of understanding logarithmic derivatives in calculus. Students will learn to differentiate various logarithmic functions, including ln(1/x), ln(x*sqrt(x^2-1)), and ln((2y+1)^5/sqrt(y^2+1)). The course also includes topics such as logarithmic differentiation, derivatives of exponential functions, and the comparison between regular derivatives and logarithmic derivatives. The teaching method involves solving problems and equations related to logarithmic derivatives. This course is intended for learners familiar with single-variable calculus and interested in deepening their understanding of derivatives and logarithmic functions.
Overview
Syllabus
Derivative of ln(1/x).
derivative of log base 10 of (x^3+1), with the box.
derivative of ln(x*sqrt(x^2-1)) vs. derivative of ln(x+sqrt(x^2-1)).
derivative of ln((2y+1)^5/sqrt(y^2+1)).
derivative of ln(ln(s)).
Derivative of ln(e^-x + x*e^-x).
derivative of 2x*log_10(sqrt(x)).
second derivative of x^2*ln(2x).
second derivative of ln(x+sqrt(1+x^2)).
equation of the line tangent to ln(x^2-3x+1) at x=3.
derivative of sqrt((x-1)/(x^4+1)), logarithmic differentiation.
derivative of x^sin(x),.
derivative of x^x.
regular derivative vs. logarithmic derivative.
derivative of 1/ln(x).
derivative of ln(1/x).
logarithmic differentation.
Taught by
blackpenredpen
