
#Calculus Differentiation
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![#Calculus Differentiation 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=aHR0cHM6Ly9zY29udGVudC1saHI4LTIuY2RuaW5zdGFncmFtLmNvbS92L3Q1MS44Mjc4Ny0xNS82NDE3NzI0NDVfMTc4NjI0Mzk0OTc2MDQzNzVfNDk5NTg3ODg0OTU0NjUwODQzX24uanBnP3N0cD1kc3QtanBnX2UzNV9zNjQweDY0MF90dDYmX25jX2NhdD0xMDYmY2NiPTctNSZfbmNfc2lkPTE4ZGU3NCZlZmc9ZXlKbFptZGZkR0ZuSWpvaVEweEpVRk11WW1WemRGOXBiV0ZuWlY5MWNteG5aVzR1UXpNaWZRJTNEJTNEJl9uY19vaGM9SVBvdjZaSi1xVGNRN2tOdndHSVIwOS0mX25jX29jPUFkcWRpUlNoRkNMbER1ekE4djhhLU0yNklBNzVjRUpKNThvOGNpS3o2R1l5X0Nmc2trWXpuallfZndFcDZSMEI2UlEmX25jX3p0PTIzJl9uY19odD1zY29udGVudC1saHI4LTIuY2RuaW5zdGFncmFtLmNvbSZfbmNfZ2lkPS0tOGNfNlhXS0tDTThuRmpkU0tYdFEmX25jX3NzPTcwNjg5Jm9oPTAwX0FmN0RHSTNSNG5zSGd3cVk2MjJiNDl6Q25vMGQta01SbFBXbjI1Q0Z5NGRYekEmb2U9NkExMDFBODU=)
![#Calculus Differentiation 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 Differentiation 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 Differentiation 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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)





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