Section 3.6 : Derivatives of Exponential and Logarithm Functions
4. Differentiate \(y = {z^5} - {{\bf{e}}^z}\ln \left( z \right)\) .
Show SolutionNot much to do here other than take the derivative using the formulas from class. \[\require{bbox} \bbox[2pt,border:1px solid black]{{y' = 5{z^4} - {{\bf{e}}^z}\ln \left( z \right) - \frac{{{{\bf{e}}^z}}}{z}}}\]