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.

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.

If tangen at any point of the curve y=x^3+lamdax^2+x+5 makes acute angle with x-axis then

If the tangent at any point on the curve y=x^(5)+5x-12 makes an angle theta with the x - axis then theta is

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

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

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

If the tangent at each point of the curve y = x^3-ax^2 + x +1 is inclined at an acute angle with the positive direction of x-axis then find a.

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

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