Question

Let f(x)= tan(2x-pi/4). Find a second- degree polynomial such that P(0)=f(0), P'(0)=f'(0); and P''(0)=f"(0)

Answer 1

what have you come up with so far?

Answer 2

we want a second degree poly:

P(x) = ax^2 + bx + c

P'(x) = 2ax + b

P''(x) = 2a

equate those with the derivatives of the tangent function ...