Transcript 5.4 Exponential Functions: Differentiation & Integration

5.6 Inverse Trigonometric
Functions: Differentiation
• Develop properties of the six inverse
trigonometric functions.
• Differentiate an inverse trigonometric function.
• Review the basic differentiation rules for
elementary functions.
Inverse Trigonometric Functions
Find the inverse function for the 6 basic
trigonometric functions.
y = sinx
y = cscx
y = cosx
y = secx
y = tanx
y = cotx
None of them are one-to-one and therefore do
not have an inverse function unless we restrict
domains. P 371
Derivatives of Inverse Trigonometric Function
They are all rational functions.
Algebra Functions
Polynomial
Rational
Radical
Transcendental
Logarithmic
Exponential
Trigonometric
Inverse Trigonometric