![📘 Derivatives Question 120 | Differentiation of (3ˣ + 5ˣ)² / (3ˣ 5ˣ) Differentiate the function: 📌 d/dx [ (3ˣ + 5ˣ)² / (3ˣ 5ˣ) ] In this problem, we differentiate an expression that contains expo](https://image.pictame.com/img/662026917_35760813570172493_8076135871576346405_n.jpg?hash=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)

![📘 Derivatives Question 119 | d/dx [ 1 / (3ⁿˣ 5ˣ) ] Differentiate the function: 📌 d/dx [ 1 / (3ⁿˣ 5ˣ) ] This problem involves applying the power rule to both exponential and reciprocal functions.](https://image.pictame.com/img/657545311_1600763137822986_5389147326562542413_n.jpg?hash=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)
![📘 Derivatives Question 118 | d/dx [ (e⁷ˡᵒᵍˣ − e⁶ˡᵒᵍˣ)² / (e⁵ˡᵒᵍˣ − e⁴ˡᵒᵍˣ) ] Differentiate the function: 📌 d/dx [ (e⁷ˡᵒᵍˣ − e⁶ˡᵒᵍˣ)² / (e⁵ˡᵒᵍˣ − e⁴ˡᵒᵍˣ) ] This problem involves logarithmic and ex](https://image.pictame.com/img/658430052_928005853342859_6293395740336280302_n.jpg?hash=aHR0cHM6Ly9zY29udGVudC13YXcyLTEuY2RuaW5zdGFncmFtLmNvbS92L3Q1MS43MTg3OC0xNS82NTg0MzAwNTJfOTI4MDA1ODUzMzQyODU5XzYyOTMzOTU3NDAzMzYyODAzMDJfbi5qcGc/c3RwPWRzdC1qcGdfZTE1X3R0NiZfbmNfaHQ9c2NvbnRlbnQtd2F3Mi0xLmNkbmluc3RhZ3JhbS5jb20mX25jX2NhdD0xMTEmX25jX29jPVE2Y1oyZ0hqSG12UVg1X29mNFAtWUlTUmVDNVdNOVhtM3BDRDBEOUpJMXRuRHc5OWQ2U2I1S3kyanhhdUM2NVlNRTU1X1JVJl9uY19vaGM9dk5mMndBVVdPaUVRN2tOdndGR2pfMFQmX25jX2dpZD10U2tyR0hqelRyczQ0cXdVTnNvbEdBJmVkbT1BUFU4OUZBQkFBQUEmY2NiPTctNSZvaD0wMF9BZjM4bzAtYlp6Qkp2UWloUnp6eFpBTHplVF9RWkhJSWRwVmVMNHdWUHdkN0VBJm9lPTY5RDcwMzYzJl9uY19zaWQ9YmMwYzJj)

![📘 Derivatives Question 117 | Differentiation of (e^(3 log x) / ⁷√(x⁴)) Differentiate the function: 📌 Main Question: d/dx [ e^(3 log x) / ⁷√(x⁴) ] In this problem, we differentiate a function that](https://image.pictame.com/img/658376064_26365466736451338_4896754733997941213_n.jpg?hash=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)
![📘 Derivatives Question 116 | Differentiation of (e^log x / √x)² Differentiate the function: 📌 Main Question: d/dx [(e^log x / √x)²] In this problem, we differentiate a function that involves an e](https://image.pictame.com/img/658541342_1628214511827549_5493332773853013372_n.jpg?hash=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)

![📘 Derivatives Question 115 | Differentiation of √(1 + 2 tan x (tan x + sec x)) Differentiate the function: 📌 d/dx [ √(1 + 2 tan x (tan x + sec x)) ] In this problem, we differentiate a function t](https://image.pictame.com/img/658431558_1867112470634617_8700981189131636261_n.jpg?hash=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)
![📘 Derivatives Question 114 (ii) | Differentiation of √((sec x − 1)/(sec x + 1)) Differentiate the function: 📌 d/dx [ √((sec x − 1)/(sec x + 1)) ] In this problem, we differentiate a function that](https://image.pictame.com/img/657720228_955513243840475_286796533545473562_n.jpg?hash=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)

![📘 Derivatives Question 114 | Differentiation of √((sec x − 1)/(sec x + 1)) Differentiate the function: 📌 d/dx [ √((sec x − 1)/(sec x + 1)) ] In this problem, we differentiate a function that invo](https://image.pictame.com/img/657892247_1465234431653512_8654482738967142333_n.jpg?hash=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)
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