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Equation of the tangent to the curve y=1...

Equation of the tangent to the curve `y=1-2^(x//2)` at the point of intersection with the Y-axes is

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(a) Find the slope of the tangent to the cube parabola y = x^(3) at the point x=sqrt(3)/(3) (b) Write the equations of the tangents to the curve y = (1)/(1+x^(2)) at the 1 points of its intersection with the hyperbola y = (1)/(x+1) (c) Write the equation of the normal to the parabola y = x^(2) + 4x + 1 perpendicular to the line joining the origin of coordinates with the vertex of the parabola. (d) At what angle does the curve y = e^(x) intersect the y-axis

Equation of the tangent to the curve y=2-3x-x^(2) at the point where the curve meets the Y -axes is

Equation of the normal to the curve y=-sqrt(x)+2 at the point of its intersection with the curve y=tan(tan-1x) is