1st year Calculus: What is my professor looking for?

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Differential Calculus

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Im so confused; I tried this out in class and got False.I thought he's looking for f ' (x) aka the tangent. So I did f(x) = x³ - 4x therefore f ' (x) = x² - 4

I did a step further also solved the limit; let h = 0.01 so then*lim h→0 ( h³ -12h / 3h) = - 3.999 which makes sense because sub x for 0 and you get (0)² - 4 ≈ - 4So confiendly I said False; x² - 4 ≠ - 4x

Now im dumbfounded where this extra Y - Y(naught) came from. I'm sure its a simple matter that I'm not understanding what hes asking for. Can someone explain to me and explain the trap keywords to look out for in future?

https://preview.redd.it/37vahrrf0xm91.jpg?width=923&format=pjpg&auto=webp&s=f335d06fa2693f62570425053d0bb16f8649301d

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Posted: 2 years ago
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