Find the length of the tangent for the curve `y=x^3+3x^2+4x-1` at point `x=0.`

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 = 3x^(4) – 4x at x = 4.

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

Find the slope of the tangent to the curve y= (x-1)/(x-2), x ne 2 at x = 10.

Find the slope of the tangent to curve y = x^(3) – x + 1 at the point whose x-coordinate is 2.

The slope of the tangent to the curve y = 3x^(2) + 4 cos x " at " x = 0 is

Find the equation of the tangent to the curve y=(x-7)/((x-2)-(x-3)) at the point where it cuts the x-axis.

Find the equations of tangent and normal to the curve y=x^(2)+3x-2 at the point (1, 2). .

If the equation of the tangent to the curve y^2=a x^3+b at point (2,3)i sy=4x-5 , then find the values of aa n db .