please show all work

Q21-1O marks. (10 points) Microtubules are rodlike cylinders in the cell cytoskeleton, which are essential for mitosis and other cell processes. Microtubules are assembled by tubulin in a helical structure. The length of a microtubule can be measured as L(t) = W2 + 0.1(sin(y))2 + 0.1(cos(y))2 where y(t) is the rotational angle along the :rnicrotubule, as it grows. Use implicit differentiation t1) show that (for L0) 7E 0) L'(r) satisfies a simple formula L'(r) = [7:5