Example 26 (i) - Differentiate e^-x with respect to x [Video] - Examples

 

 

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Example 26 Differentiate the following w.r.t. x: (i) 𝑒^(–𝑥)Let 𝑦 = 𝑒^(–𝑥) Differentiating both sides 𝑤.𝑟.𝑡.𝑥 𝑑𝑦/𝑑𝑥 = 𝑑(𝑒^(−𝑥) )/𝑑𝑥 𝑑𝑦/𝑑𝑥 = 𝑒^(−𝑥) . 𝑑(−𝑥)/𝑑𝑥 𝑑𝑦/𝑑𝑥 = 𝑒^(−𝑥) (−1) . 𝒅𝒚/𝒅𝒙 = 〖−𝒆〗^(−𝒙)

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