Prove theat the tangent drawn at any point to the curve `f(x)=x^(5)+3x^(3)+4x+8` would make an acute angle with the x-axis.

Prove that the tangent drawn at any point to the curve f(x)=x^5+3x^3+4x+8 would make an acute angle with the x-axis.

Any tangent to the curve y=2x^(5)+4x^(3)+7x+9

If the tangent at each point of the curve y=(2)/(3) x^(3)-2ax^(2)+2x+5 makes an acute angle with the positive direction of x-axis, then

The point on the curve y^(2) = x , where tangent make an angle of (pi)/(4) with the x-axis, is

The point on the curve 6y=4x^(3)-3x^(2) , the tangent at which makes an equal angle with the coordinate axes is

Find the point on the curve y^2=a x the tangent at which makes an angle of 45^0 with the x-axis.

Find the point on the curve y^2=a x the tangent at which makes an angle of 45^@ with the x-axis.

At what point of the curve y=x^2 does the tangent make an angle of 45^@ with the x-axis?

Show that there lies a point on the curve f(x)=x(x+3)e^(-pi/2),-3lexle0 where tangent drawn is parallel to the x-axis.

Find the points on the curve y= x^(3)-3x^(2)-9x + 7 at which the tangents are parallel to x-axis