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Implicit Differentiation & Derivative of Inverse Trig Functions - Calculus

blackpenredpen via YouTube

Overview

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This course works through implicit differentiation and derivatives of inverse trigonometric functions using examples involving trigonometric, exponential, and inverse trigonometric expressions. It also covers second implicit derivatives and finding dy/dx for a cardioid.

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

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