Let, be a function such that . Then equals

Question

Let,  be a function such that . Then  equals

Canvas Classes · Accepted Answer

🧠 Same Setup as the "Find " Question — Reuse the Same Logic

This is the exact same definition as DIFF-011: . The only difference is what is asked at the end (here, ).

Visible clue:  are NUMBERS, not functions of . Replace them with constants , and we have a cubic .

First step: differentiate to get . Plug in to get three equations. Solve top-down (start from  which has no unknowns). Once  are known, evaluate .

🗺️ Working It Out

where .

.

(constant).

From : .

From : . So

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