Given y = ln(4 – 2x^3), and needing to find the derivative, it's just a pointless ritualistic exercise in bookkeeping to expect students to write down: "Let u = ..., then dy/dx = dy/du, blah blah blah". It's obvious that the derivative is –6x^2 / (4 – 2x^3).
I agree and I think while it might be good to understand how it's derived it's just so useless to include in the working out lmao. Especially for logs when you can pretty much TELL what the answer is immediately w/o any working.
Similarly for product and quotient rule. Given y = e^x * (x+1)^2, and needing to find the derivative, there's no need to write u = ... and v = ... The first line can be e^x * 2(x + 1) + e^x * (x + 1)^2.
Ah cool thanks for the clarification mate. That's what I've been doing and was so worried when I saw everyone else in my cohort had about 3 more lines of working than me.
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