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For some constants a and b, find the der...

For some constants a and b, find the derivative of(i) `(x - a) *(x-b)` (ii) `(a x^2+b)^2` (iii) `(x-a)/(x-b)`

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Let's solve the derivatives step by step for each part of the question. ### Part (i): Find the derivative of \( f(x) = (x - a)(x - b) \) 1. **Expand the function**: \[ f(x) = (x - a)(x - b) = x^2 - bx - ax + ab = x^2 - (a + b)x + ab \] ...
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