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![📘 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/659074000_17870457684604375_3843260744472789345_n.jpg?hash=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)
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![📘 Derivatives Question 122 | Differentiation of (8^(1+x) + 4^(1−x)) / 2^x Differentiate the function: 📌 d/dx [ (8^(1+x) + 4^(1−x)) / 2^x ] In this problem, we differentiate an expression involvin](https://image.pictame.com/img/658976286_17870453019604375_621000690250773156_n.jpg?hash=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)
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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/659034450_17870451630604375_8983081575623436499_n.jpg?hash=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)
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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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)
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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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)
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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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