This course covers implicit differentiation and the derivative of inverse trigonometric functions in calculus. The learning outcomes include understanding implicit differentiation, finding derivatives of various functions, and calculating second derivatives using implicit differentiation. The course teaches skills such as differentiating trigonometric and inverse trigonometric functions implicitly. The teaching method involves solving multiple examples and problems to reinforce the concepts. The intended audience for this course is students studying calculus who want to deepen their understanding of implicit differentiation and derivative calculations for inverse trigonometric functions.
Implicit Differentiation & Derivative of Inverse Trig Functions - Calculus
Overview
Syllabus
implicit differentiation y*cos(x)=x^2+y^2.
derivative for e^(x/y) = x - y.
implicit differentiation 4cos(x)sin(y)=1.
implicit differentiation arctan(x^2*y)=x+x*y^2.
Second derivative with implicit differentiation 9x^2+y^2=9.
Derivative of (arctan(x))^2.
derivative of sin^-1(2x+1).
y'' for sin(y)+cos(x)=1, implicit differentiation.
derivative of sin(x*y)=cos(x+y), implicit differentiation.
dy/dx of a cardioid at (0, 1/2), implicit differentiation.
Derivative of cos(sin^-1(x)).
derivative of sin^-1(2x+1).
derivative of sqrt(1-x^2)*arccos(x).
derivative of (tan^-1(x))^2 vs derivative of tan^-1(x^2).
Taught by
blackpenredpen
