Nov 21, 2023 · ln(e x) represents the number we need to raise e to in order to get e x. Well, we need to raise e to x to get e x , so we have the following. f ( f -1 ( x )) = f ( e x ) = ln( e x ) = x

Answer to: Evaluate ln(e^x). By signing up, you'll get thousands of step-by-step solutions to your homework questions.

Derivative Of A Logarithmic Function. You have to find the derivative of the given function. First you will differentiate the given function with respect to x using chain rule and product rule to …

If \ln a = 2, \ln b = 3, and \ln c = 5, evaluate the following: (\ln c^4)(\ln \frac{a}{b^{-2)^1 Condense the expression to the logarithm of a single quantity. \ln x - \ln(x + 2) + \ln(2x - 3) Condense the …

Answer to: Find the derivative of the function. y = ln (e^{x^2}) By signing up, you'll get thousands of step-by-step solutions to your homework...

Mar 13, 2015 · Free Online Scientific Notation Calculator. Solve advanced problems in Physics, Mathematics and Engineering. Math Expression Renderer, Plots, Unit Converter, Equation …

Answer to: Differentiate: y = ln(e^x + e^-x). By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can...

Find the derivative of f(x) = ln(e^x - e^(-x)) (x greater than 0) using the chain rule. And then use this answer and the quotient rule to find the second derivative. Differentiate the following …

Differentiate the function {eq}\ y = ln\ (e^x + e^{-x}) \ {/eq}. The Chain Rule and Natural Log Functions: The chain rule provides a means of computing the derivative of function which are …

Answer to: Find the length of the curve. y = \\ln(e^x - 1) - \\ln(e^x + 1), \\ln 2 \\leq x \\leq \\ln 3 By signing up, you'll get thousands of...