{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# Calc03_8 - 3.8 Derivatives of Inverse Trig Functions...

This preview shows pages 1–6. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 3.8 Derivatives of Inverse Trig Functions Inverse Sine on the Complex Plane Domain [-1,1] Range - π 2 , π 2 Ατξ=1, ψ= π 2 Domain [-1,1] Range 0, π [ ] Ατξ=1, ψ=0 Domain All Reals; Range - π 2 , π 2 ÷ Ατξ=1, ψ= π 4 Domain -∞,1 ( ] ∪ 1,∞ [ 29 Ρανγε 0, π 2 ÷ ∪ π 2 ,π Ατξ=1, ψ= 0 Domain All Reals; Range All Reals; At x=1, y = 1 f-1 ξ ( 29 = ξ + 8 3 f-1 ξ ( 29 = ξ 3- 5 f-1 ξ ( 29 = 8 ξ f-1 ξ ( 29 = 2 3 - ξ f-1 ξ ( 29 = 3ταν ξ, - π 2 < ξ < π 2 8 6 4 2 8 6 4 2 x y x y 8 6 4 2 8 6 4 2 x y x y 8 6 4 2 8 6 4 2 x y x y ( 29 2 f x x x = ³ We can find the inverse function as follows: 2 y x = Switch x and y . 2 x y = x y = y x = 2 y x = y x = 2 df x dx = At x = 2 : ( 29 2 2 2 4 f = = ( 29 2 2 2 4 df dx = × = 4 m = ( 29 2,4 ( 29 1 f x x- = ( 29 1 1 2 f x x- = 1 1 2 1 2 df x dx-- = 1 1 2 df dx x- = → To find the derivative of the inverse function: 8 6 4...
View Full Document

{[ snackBarMessage ]}

### Page1 / 18

Calc03_8 - 3.8 Derivatives of Inverse Trig Functions...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online