please code all in PYTHON code

The curvature of a function h(x) at a point is the reciprocal of the radius of the circle that best approximates the shape of the function at that point. It is given by the following formula: =(1+[h(x)]2)3/2h(x) Find the curvature, in exact and approximate form, of the following functions at the given points. (Remember that you can use Rational (3,2) to get the exact value of 23. Just dividing 3 by 2 gives a floating point.) (a) h(x)=x2+3x+5 at x=2 (b) h(x)=tan(x) at x=3 (c) h(x)=7x1 at x=5 (d) h(x)=25x2 at x=1 (e) In a print statement, give a geometric relationship between the answers to (c) and (d) and characteristics of those curves