Yes thank you, I appreciate all the replies I recieved, however, the problem I still have is that the general statement "the secondary voltage is the first derivative of the primary voltage" I feel is kind of unheard of.
just to make sure you understand the reasoning for the expected answer B,
voltage is directly proportional to current (V=IR applies here within the syllabus)
current is directly proportional to magnetic field (B=μNI/L)
magnetic field is directly proportional to flux (Φ=BA)
emf is proportional to the derivative of flux over time (ε=-N Δφ/Δt, Δ is the same as saying d)
emf is equivalent to voltage
therefore secondary voltage is proportional to the derivative of primary voltage