## Question

###### 1- Find the average rate of change fory = % Xo = 1 Xp = 2 2 - Find the instantaneous rare of change for the above function at3- Show that the function y = x? + 3x + 3 satisfy they- +xy= 2y- = 4- Find dy/dx for: a- y sec? x tan? x b- y = sec? 6 ~X) c y = sin(tan(3x)) d-y = V1 + sin" (x") e- y = 2(* 1)6+ f:y = cos '{sin(Zx")} 5-Find the equation of the tangent to the function y sinX atx = 0/4 Show that y = xsinx is solution toy" +y = Zcosx

1- Find the average rate of change fory = % Xo = 1 Xp = 2 2 - Find the instantaneous rare of change for the above function at 3- Show that the function y = x? + 3x + 3 satisfy they- +xy= 2y- = 4- Find dy/dx for: a- y sec? x tan? x b- y = sec? 6 ~X) c y = sin(tan(3x)) d-y = V1 + sin" (x") e- y = 2(* 1)6+ f:y = cos '{sin(Zx")} 5-Find the equation of the tangent to the function y sinX atx = 0/4 Show that y = xsinx is solution toy" +y = Zcosx

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