𝐃𝐞𝐫𝐢𝐯𝐚𝐭𝐢𝐯𝐞 𝐨𝐟 𝐜𝐨𝐭(𝐱) = - 𝐜𝐨𝐬𝐞𝐜^𝟐 (𝐱) | 𝐏𝐫𝐨𝐨𝐟 | 𝐅𝐢𝐫𝐬𝐭 𝐏𝐫𝐢𝐧𝐜𝐢𝐩𝐥𝐞 | 𝐂𝐚𝐥𝐜𝐮𝐥𝐮𝐬

𝐃𝐞𝐫𝐢𝐯𝐚𝐭𝐢𝐯𝐞 𝐨𝐟 𝐬𝐞𝐜(𝐱) = 𝐬𝐞𝐜(𝐱)𝐭𝐚𝐧(𝐱) | 𝐏𝐫𝐨𝐨𝐟 | 𝐅𝐢𝐫𝐬𝐭 𝐏𝐫𝐢𝐧𝐜𝐢𝐩𝐥𝐞 | 𝐂𝐚𝐥𝐜𝐮𝐥𝐮𝐬

Derivative of cot(x) from first principles (definition)

𝐃𝐞𝐫𝐢𝐯𝐚𝐭𝐢𝐯𝐞 𝐨𝐟 𝐜𝐨𝐬𝐞𝐜(𝐱) = - 𝐜𝐨𝐬𝐞𝐜(𝐱)𝐜𝐨𝐭(𝐱) | 𝐏𝐫𝐨𝐨𝐟 | 𝐅𝐢𝐫𝐬𝐭 𝐏𝐫𝐢𝐧𝐜𝐢𝐩𝐥𝐞 | 𝐂𝐚𝐥𝐜𝐮𝐥𝐮𝐬

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the derivative of cot(x)

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𝐃𝐞𝐫𝐢𝐯𝐚𝐭𝐢𝐯𝐞 𝐨𝐟 𝐜𝐨𝐬(𝐱) = – 𝐬𝐢𝐧(𝐱) | 𝐂𝐚𝐥𝐜𝐮𝐥𝐮𝐬 | 𝐏𝐫𝐨𝐨𝐟

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