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Find the Derivative - d/dx e^4

Problem

d(e4)/d(x)

Solution

  1. Identify the nature of the expression e4

  2. Recognize that e is a mathematical constant approximately equal to 2.718 and therefore e4 is also a constant value.

  3. Apply the constant rule for differentiation, which states that the derivative of any constant c with respect to x is zero.

  4. Conclude that since there is no x variable in the expression, the rate of change is zero.

Final Answer

d(e4)/d(x)=0


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