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homework2 - M408C Homework 10/2 10/25 10/2 Find dy/dx using...

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M408C Homework: 10/2 – 10/25 10/2 Find dy/dx using normal implicit di ff erentiation, and then using the partial derivative shortcut: (1) tan( x 2 y ) = x 3 sin( xy 3 ) (2) x 3 + y 4 = x 4 y 3 + 9 For (2), find the equation of the tangent line at the point (1 , 2). 10/4 Di ff erentiate: (1) y = ln(csc x ) (2) y = cot(ln x ) (3) y = sin 3 (ln 2 (1 /x )) 10/11 No homework assigned. 10/16 Di ff erentiate: (1) y = arctan( x 3 ) (2) y = arcsin(1 /x ) (3) y = ln(arctan( x )) (5) y = e 1 / arctan( x ) Using a right triangle, calculate the following: (6) cos(arcsec( x )) (7) sin(arccot( x )) 10/18 From the textbook: page 262, #4, 7, 8, 11, 13.
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