Need answers to these ASAP please within 40 mines help is much appreciated

1)Let f(x) = 1-x² = for 1 x 1. Find the equation of the tangent line to f(x) at x = 3/2

2) Find the values of a and b so that f(x) = { 2 + 3e^x if x < 0 is differentiable everywhere.

ax + b if x 0

3)Carefully state the denition of the derivative of a function f(x) at a point x = a.

4) Use the denition of the derivative to compute the derivative of f(x) = x/x-1 at x = 2

5) Consider the function f(x) = 1 2x x² . Find the point (x₀ , y₀ ) such that the tangent line to f at (x₀ , y₀ ) is parallel to the line y = x + 10.