Example 26 (i) - Chapter 5 Class 12 Continuity and Differentiability

Last updated at August 17, 2026 by

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) ๐‘’^(โ€“๐‘ฅ)Let ๐‘ฆ = ๐‘’^(โ€“๐‘ฅ) Differentiating both sides ๐‘ค.๐‘Ÿ.๐‘ก.๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = ๐‘‘(๐‘’^(โˆ’๐‘ฅ) )/๐‘‘๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = ๐‘’^(โˆ’๐‘ฅ) . ๐‘‘(โˆ’๐‘ฅ)/๐‘‘๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = ๐‘’^(โˆ’๐‘ฅ) (โˆ’1) . ๐’…๐’š/๐’…๐’™ = ใ€–โˆ’๐’†ใ€—^(โˆ’๐’™)

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