Section 3.6ppt

# Section 3.6ppt - b x x f arctan =-4 1 π dx dy x e x...

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Section 3.6 Derivatives of Inverse Functions

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Derivatives of Inverse Trig Functions [ ] [ ] [ ] 1 ' sec 1 ' arctan 1 ' arcsin 2 2 2 - = + = - = u u u u arc dx d u u u dx d u u u dx d [ ] [ ] [ ] 1 ' csc 1 ' cot 1 ' arccos 2 2 2 - - = + - = - - = u u u u ar dx d u u u arc dx d u u u dx d
Examples: 1) Find an equation of the tangent line to the graph at  the indicated point.                              2) Find               a)

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Unformatted text preview: b) x x f arctan ) ( = --4 , 1 π dx dy x e x y ) (arcsin = 2 arctan ) 4 ln( 2 2 x x y-+ = More Examples 1) Find the slope of the tangent line to the graph of the equation at the given point. ) arcsin( ) arctan( y x xy + = ( 29 ,...
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Section 3.6ppt - b x x f arctan =-4 1 π dx dy x e x...

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