Let f(x) = e ^2x+5 . For any n ≥ 0, find a formula for f ⁿ (x) and explain why your formula is correct.

Let f(x) = cos(3x). For any n ≥ 0, find a formula for f ⁿ (x) and explain why your formula is correct.

Let f(x) = 1/(1-x). Find an equation to the tangent line to f(x) at (3,f(3))