Find first deriative ### Mathematical Functions#### Function d)The function \( f(x) = \ln(e^x - 3x) \) represents a composite function involving the natural logarithm. Here, \( \ln \) denotes the natural logarithm, \( e^x \) represents the exponential function, and \( 3x \) is a linear component subtracted from the exponential part. The expression inside the logarithm, \( e^x - 3x \), must be positive, as the logarithm is only defined for positive values.#### Function e)The function \( f(x) = e^{x^2 \ln x - \frac{x^2}{2}} \) is a more complex expression. It includes:- The exponential base \( e \) raised to the power of an expression.- The expression \( x^2 \ln x \) which combines a quadratic term with the natural logarithm of \( x \).- A subtractive quadratic term \( \frac{x^2}{2} \) is also part of the exponent.Understanding these functions requires familiarity with concepts such as exponential functions, natural logarithms, and the rules governing these operations.

Name: Find first deriative ### Mathematical Functions#### Function d)The fun
Uploaded: 2024-03-20T06:46:14.000Z
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Description: Find first deriative ### Mathematical Functions#### Function d)The function \( f(x) = \ln(e^x - 3x) \) represents a composite function involving the natural logarithm. Here, \( \ln \) denotes the natural logarithm, \( e^x \) represents the exponentia