in kinematics(the studyof motion),the speedof an object(y) signifiesthe changeof positionwith respect
to time but acceleration(y") signifiesthe rate of changeof the speedwith respectto time.
ReviewQuestions
Finddy/dxby implicitdifferentiation.
1.x^2 +y^2 = 500
sin(25xy^2 ) =x
In problems#7 and 8, use implicitdifferentiationto find the slopeof the tangentline to the givencurveat
the specifiedpoint.
at (1, 1)
sin(xy) =yat (π, 1)
Findy" by implicitdifferentiationforx^3 y^3 = 5.
Use implicitdifferentiationto showthat the tangentline to the curvey^2 =kxat (x 0 ,y 0 ) is givenby
, wherek is a constant.
Answers