المشاركة الأصلية كتبت بواسطة هبة كريم (المشاركة 2176040) اذا كانت ص = 2س جاس جتا س فاثبت ان دص/دس = جا 2س+2س جتا 2س

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Find the average rate of change of the function f (x) =(1/x)-x when x change from x to x +h and evaluate the rate of the change of the function at x =2


If f (x)=a x power 2+bx+4, find at x=3 the variation function V(h). Find the values of a and b where f (3)=4 and V(1/2)=1 3/4


If Y=z power 2/z power2 +1,Z=2x+1 power1/2 find dy/dx


If Y = ({ X power 2} - 2 /{X power2} + 2 ) power n , then prove that dy/dx = 8nxy/{Xpower4 } -4


Find dy / dx of each of the following composite function


X power 2 +Y power 2 = 16


X power 2 + 3XY +2Y POWER 2 = 9