Derivative of Inverse Trig Functions (Differentiation)

In this section we go over the derivative of inverse of the sine cosine tanget secant cosecant and tangent functions also known as arcsin, arccos, arctan, arcsec, arccsc, and arccot. The differentiation formulas of these inverse  trig functions will be used in finding the derivative of functions. 

Inverse Trigonometric Differentiation Formulas

Below are the inverse differentiation formulas you must master to be successful for this lesson on derivatives

VIDEO TUTORIALS
RELATED LINKS
DERIVATIVES

1.  Differentiation Rules Pt I

1b. Differentiation Rules Pt II

1c. Differentiation Rules Pt III

1d. Differentiation Rules Witch of Agnesi

2a. Application of Derivatives to Velocity, Position, Acceleration and Jerk

3.  Chain Rule

4. Logarithmic Differentiation I

5. Logarithmic Differentiation II

6. Derivatives of Inverse Trigonometric Functions

7. Derivatives Cumulative Review Part I

VIDEO TRANSCRIPTS

VIDEO NOTES

AP Calculus Standards Covered in this Section
The student will define and apply the properties of limits of functions. Limits will be
evaluated graphically and algebraically. This will include
a) limits of a constant;
b) limits of a sum, product, and quotient;
c) one-sided limits; and
d) limits at infinity, infinite limits, and non-existent limits. *
*AP Calculus BC will include l’Hopital’s Rule, which will be used to find the limit of
functions whose limits yield the indeterminate forms: 0/0 and ∞/∞.
APC.3 The student will use limits to define continuity and determine where a function is
continuous or discontinuous. This will include
a) continuity in terms of limits;
b) continuity at a point and over a closed interval;
c) application of the Intermediate Value Theorem and the Extreme Value Theorem; and
d) geometric understanding and interpretation of continuity and discontinuity.
APC.4 The student will investigate asymptotic and unbounded behavior in functions. This will
include
a) describing and understanding asymptotes in terms of graphical behavior and limits
involving infinity; and
b) comparing relative magnitudes of functions and their rates of change.