Find the Derivative - d/dx y=4e^x

Problem

d()/d(x)*4*ex

Solution

1. Identify the constant multiple rule, which states that the derivative of a constant times a function is the constant times the derivative of that function.

2. Apply the rule for the derivative of the natural exponential function, where d(ex)/d(x)=ex

3. Multiply the constant 4 by the derivative of ex

Final Answer

(d(4)*ex)/d(x)=4*ex

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