![📘 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=aHR0cHM6Ly9zY29udGVudC1wcmcxLTEuY2RuaW5zdGFncmFtLmNvbS92L3Q1MS43MTg3OC0xNS82NTc3MjAyMjhfOTU1NTEzMjQzODQwNDc1XzI4Njc5NjUzMzU0NTQ3MzU2Ml9uLmpwZz9zdHA9ZHN0LWpwZ19lMTVfdHQ2Jl9uY19odD1zY29udGVudC1wcmcxLTEuY2RuaW5zdGFncmFtLmNvbSZfbmNfY2F0PTExMSZfbmNfb2M9UTZjWjJnRUxtQ29nUFZvV3dwSEtNQXJmQmQ5M1dNQmxWdXdvUzg5WG9ic2o2MTVKZklEaEo1SElFbEZqMmtfR0VBR2hvN2MmX25jX29oYz1yR3RWX0gxaUNOd1E3a052d0ZWdzc0dCZfbmNfZ2lkPXdhWG5NT1J2MmlHNG5uMFc2OUtaM0EmZWRtPUFQVTg5RkFCQUFBQSZjY2I9Ny01Jm9oPTAwX0FmME8wM2pSeUxJdng5QXBRcEE4RGVJdnJCWV9EMXZOVFFZNHhod01hdFpBR3cmb2U9NjlENTlBNUYmX25jX3NpZD1iYzBjMmM=)
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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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