Unformatted text preview: 16. Find the equation of the tangent line to the curve xy 3 + xy = 12 at the point (6,1). 17. The temperature, H , in degrees Fahrenheit, of a can of soda that is put into a refrigerator to cool is given as a function of time, t , in hours, by H ( t ) = 10 + 55 e − 2 t . Find the rate of change of the temperature of the soda in units of degrees Fahrenheit per minute. 18. Let f ( x ) = sin(cos(sin x )). Find f ′ ( x ). 19. Let f ( x ) = sin(cos( x 3 )). Find f ′ ( x ). 20. Let f ( x ) = 4 cos(6 ln(2 x )). Find f ′ ( x ). 21. Let f ( x ) = 7 log 9 ( ex ). Find f ′ ( x ). 22. Let f ( x ) = 3 x 3 x . Find f ′ ( x )....
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- Fall '08
- Derivative, Mathematical analysis, Fahrenheit, Line segment