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# FP2 Second order Differential Question help! Urgent! Watch

1. June 2014 FP2 (R) question 8:

For the second differentiation, they have multiplied the differentiation by dy/dz on both sides. I have no idea why they have done that. My differentiation is the same but without the additional dz/dx on both sides.

Clear image if you don't know what I mean:
http://i.gyazo.com/f005e347bf6a9a23da4b12114766a2a4.png

I have a fp2 mock tomorrow and this question is killing me!
2. They have used the product rule, but as you are differentiating with respect to x, and both of the functions have Z's in them, they have differentiated both implicitly

i.e d/dx e^-z = -e^-z(dz/dx) and d/dx(dy/dz) = d^2y/dz^2(dz/dx)

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Updated: January 11, 2015
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