Hello Tutor Urgent Help Needed with the Calculus Question in the Pictures Below. Solution needed, Thank You! For the ones with answer, I want to confirm if I'm correct.

a. Find the derivative function ft for the function f. b. Determine an equation of the line tangent to the graph of f at [aha]; for the given value of a. 5 f1: = H 5:-:+2'a 1 a. f'tx)=|:| b. y = D Find the derivative of the following function. f(x) = 14x" - 22x + e4 f' (x) = 70x4 - 22Find the derivative of the following function. f (x ) = - 7x20 f'(x) = - 140x 19Find and simplify the derivative of the following function. f(x) = 25x e - X The derivative of f(x) = 25x e - X is - 25x e -X+ 25e - X (Type an exact answer in terms of e.)Find the derivative of the following function. y = (4t - 1)(5t - 6) - 1 dy 19 dt (5t - 6)2