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![#Decision Variables In Linear Programming Example Reel by @maths_notes_official - 🔥 Derivatives - Question 31
Can you solve this? 👇
d/dx [ sin((1 + x³) / (1 − x³)) ]
👉 Hint: Use Quotient Rule first, then Chain Rule.
Try before](https://image.pictame.com/img/632136194_17859401763604375_1280922880959136970_n.jpg?hash=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)
![#Decision Variables In Linear Programming Example Reel by @maths_notes_official - Derivatives Question 53 🔥
Find:
d/dx [ log₇ (log x) ]
Log inside a log 😮
Double chain rule alert! ⚡
Important for Boards & JEE aspirants.
Save t](https://image.pictame.com/img/640387167_17861450106604375_2476031252786194820_n.jpg?hash=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)
![#Decision Variables In Linear Programming Example Reel by @maths_notes_official - Derivatives Question 54 🔥
Find:
d/dx [ log₃ (log₃ x) ]
Log inside log… same base 😮
Double chain rule required ⚡
Important for Class 11, Class 12,](https://image.pictame.com/img/639827098_17861600220604375_1632024970598782795_n.jpg?hash=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)
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