The slope of the tangent to the curve `(y-x^(5))^(2)=x(1+x^(2))^(2)` at the point (1, 3) is

The slope of the tangent to the curve y=2sqrt2x

The slope of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point ( x_(1),y_(1)) is-

The slope of the tangent to the curve x= t^(2)+3t-8,y=2t^(2)-2t-5 at the point (2,-1) is

The slope of the tangent line to the curve x^(3)-x^(2)-2x+y-4=0 at some point on it is. 1. Find the coordinates of such point or points.

The slope of the tangent to the curve x= 3t^(2) +1 , y=t^(3)-1 at x=1 is-

Find the slope of the tangent to the curve y = x^(3) – x at x = 2.

Find the slope of the tangent to the curve y = x^(3) –3x + 2 at the point whose x-coordinate is 3.

If the slope of the tangent line to the curve y= (6)/(x^(2) - 4x + 6 ) at some point on it is zero, then the equation of the tangent is-

The slope of the normal to the cirlce x^(2)+y^(2)=a^(2) at the point (x_(1),y_(1)) is -

The slope of the tangent to the curve y=sqrt(4-x^2) at the point where the ordinate and the abscissa are equal is (a) -1 (b) 1 (c) 0 (d) none of these