![📘 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=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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=aHR0cHM6Ly9zY29udGVudC13YXcyLTIuY2RuaW5zdGFncmFtLmNvbS92L3Q1MS43MTg3OC0xNS82NTgzNzYwNjRfMjYzNjU0NjY3MzY0NTEzMzhfNDg5Njc1NDczMzk5Nzk0MTIxM19uLmpwZz9zdHA9ZHN0LWpwZ19lMTVfdHQ2Jl9uY19odD1zY29udGVudC13YXcyLTIuY2RuaW5zdGFncmFtLmNvbSZfbmNfY2F0PTEwNiZfbmNfb2M9UTZjWjJnR1JrNTQ3M25oZy1ITXpMbEc5MmpVdXppUWVXcXdPSy1wRkFWSWJpaFlmaWgzYXVYNG90dGZqUXBZODVXSVBaU2MmX25jX29oYz1qREg2RWVRbXV5NFE3a052d0d4TkNhUyZfbmNfZ2lkPTYxdHV2X2NxaGN4NWdrWXB0QktmT3cmZWRtPUFQVTg5RkFCQUFBQSZjY2I9Ny01Jm9oPTAwX0FmMmhoOHFhV25kcFlLZ05zVHgzSjlRODZXck1ZUnoyM2lnaWM3anl0a183eWcmb2U9NjlENUMxNUMmX25jX3NpZD1iYzBjMmM=)
![📘 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=aHR0cHM6Ly9zY29udGVudC13YXcyLTIuY2RuaW5zdGFncmFtLmNvbS92L3Q1MS43MTg3OC0xNS82NTg0MzE1NThfMTg2NzExMjQ3MDYzNDYxN184NzAwOTgxMTg5MTMxNjM2MjYxX24uanBnP3N0cD1kc3QtanBnX2UxNV90dDYmX25jX2h0PXNjb250ZW50LXdhdzItMi5jZG5pbnN0YWdyYW0uY29tJl9uY19jYXQ9MTAxJl9uY19vYz1RNmNaMmdHUms1NDczbmhnLUhNekxsRzkyalV1emlRZVdxd09LLXBGQVZJYmloWWZpaDNhdVg0b3R0ZmpRcFk4NVdJUFpTYyZfbmNfb2hjPW9yUkRjR094SE9jUTdrTnZ3RXowVjlKJl9uY19naWQ9NjF0dXZfY3FoY3g1Z2tZcHRCS2ZPdyZlZG09QVBVODlGQUJBQUFBJmNjYj03LTUmb2g9MDBfQWYyR1l6NXNtRHQzeWdxRElkeWhkb0lwMDFNNEo3M0RmMXZRN0FVeEYzSjdKZyZvZT02OUQ1QjYwRCZfbmNfc2lkPWJjMGMyYw==)
![📘 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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)
![📘 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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