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![#Calculus Practice Reel by @maths_notes_official - Derivatives Question 55 🔥
Find:
d/dx [ log₇x + logₓ7 − logₓx + log₇7 ]
Mixed bases 😮
Concept clarity required ⚡
Test your understanding of log pr](https://image.pictame.com/img/641790832_17861629764604375_5312859296820371048_n.jpg?hash=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)
![#Calculus Practice Reel by @maths_notes_official - Derivatives Question 58 🔥
y = log [ eˣ ( (x − 2) / (x + 2) )^(3/4) ]
Looks complicated? 😮
Just apply log rules first ⚡
Break it. Simplify it. Dif](https://image.pictame.com/img/639877678_17861978910604375_1431607226793297118_n.jpg?hash=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)
![#Calculus Practice 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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)
![#Calculus Practice 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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)
![#Calculus Practice Reel by @maths_notes_official - Derivatives Question 63 🔥
d/dx [ (x⁴ + 3x³ + 4x² + 2) / x³ ]
Quotient rule? 🤔
Or simplify first? 😏
Smart trick:
✔ Split each term by x³
✔ Conver](https://image.pictame.com/img/641772445_17862439497604375_499587884954650843_n.jpg?hash=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)
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