![📘 Derivatives Question 123 | Differentiation of (8^(1+x) + 16^(1−3x)) / 4^x Differentiate the function: 📌 d/dx [ (8^(1+x) + 16^(1−3x)) / 4^x ] In this problem, we differentiate an expression invo](https://image.pictame.com/img/658554733_1663499488114855_8305470004813494981_n.jpg?hash=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)
![📘 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/658908698_17870267337604375_2764573069206570697_n.jpg?hash=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)

![📘 Derivatives Question 121 | Differentiation of (3^(xⁿ) + 7^(xⁿ)) / 2^(xⁿ) Differentiate the function: 📌 d/dx [ (3^(xⁿ) + 7^(xⁿ)) / 2^(xⁿ) ] In this problem, we differentiate an expression that i](https://image.pictame.com/img/658993118_1618532152685429_1530288163283850787_n.jpg?hash=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)
![📘 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=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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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)
![📘 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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