Application of Derivatives
Find the equations of the tangent and normal to the parabola y2=4axat the point (at2,2at).
If fogoh(x) is an increasing function, then which of the following is not possible? (a)f(x),g(x),andh(x) are increasing (b)f(x)andg(x) are decreasing and h(x) is increasing (c)f(x),g(x),andh(x) are decreasing
Does there exists line/lines which is/are tangent to the curve y=sinxat(x1,y1) and normal to the curve at (x2,y2)?
If the curve C in the xy plane has the equation x2+xy+y2=1, then the fourth power of the greatest distance of a point on C from the origin is___.
If the radius of a sphere is measured as 9cm with an error of 0.03 cm, then find the approximate error in calculating its volume.