What is the maximum point on the curve `x=e^(x)y`?

What is the maximum slope of the curve y=-x^(3)+3x^(2)+2x-27 ? Also find the point.

What is the maximum height of any point on the curve y=-x^2+6x-5 above the x-axis?

What is the maximum height of any point on the curve y=-x^2+6x-5 above the x-axis?

What is the area bounded by the curves y=e^(x),y=e^(-x) and the straight line x=1?

What is the area bounded by the curves y=e^(x),y=e^(-x) and the straight line x=1?

What is the area bounded by the curves y=e^x ,y =e ^-x and the straight line x=1 ?

The asbscissa of the point on the curve y=a(e^(x//a)+e^(-x//a)) where the tangent is parallel to the X-axis, is

Find the tangent and normal to the following curves at the givne points on the curve. y=x^(4)+2e^(x) at (0, 2)