Need help with this, need an explaination so that I can also understand

Thank you

1.

Consider the function y = v1 + 2x. (a) Use the definition of derivative to find the formula for dy/ dx. (b) Find the linearization L() of the function y(x) at a = 4 (c) Use this linearization to approximate the exact value of V10.Let f(x) = 23 - 2x +3 . (a) Find the slope m of the secant line joining the points (-2, f(-2)) and (0, f(0)). (b) Find all points x = c (if any) on the interval [-2,0] such that f(c) = m.(a) Verify that the point (2,1) belongs to the curve defined by the equation dy y? +xv3+y =1+x2, and find the implicit derivative at this point. dx (b) Write the equation of the tangent line to the curve at the point (2,1)