![📘 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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)
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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=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)
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![📘 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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)
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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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)
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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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)
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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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)
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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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![📘 Derivatives Question 113 (v) | Differentiation of √((1 + sin x)/(1 − sin x)) Differentiate the function: 📌 d/dx [ √((1 + sin x)/(1 − sin x)) ] In this problem, we differentiate a function that](https://image.pictame.com/img/660130701_1692576008846872_1093330186475852127_n.jpg?hash=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)
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