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1. Here, we show you a step-by-step solved example of logarithmic differentiation. This solution was automatically generated by our smart calculator: $\frac {d} {dx}\left (x^x\right)$. 2. To derive the function $x^x$, use the method of logarithmic differentiation.
- Derivative of Logarithmic Functions Calculator - SnapXam
1. Here, we show you a step-by-step solved example of...
- Derivative of Logarithmic Functions Calculator - SnapXam
Logarithmic differentiation is a method used in calculus to differentiate a function by taking the natural logarithm of both sides of an expression of the form $$$ y=f(x) $$$. Logarithmic properties convert multiplication to addition, division to subtraction, and exponent to multiplication.
1. Here, we show you a step-by-step solved example of derivative of logarithmic functions. This solution was automatically generated by our smart calculator: $\frac {d} {dx}\left (x\ln\left (x\right)\right)$. 2. Apply the product rule for differentiation: $ (f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=x$ and $g=\ln\left (x\right)$.
Calculus: How to find the derivative of the natural log function (ln), How to differentiate the natural logarithmic function using the chain rule, with video lessons, examples and step-by-step solutions.
21 Φεβ 2024 · The derivative of the natural logarithm function ln(x) with respect to x is given by: $$ \frac{d}{dx} (ln(x)) \;=\; \frac{1}{x},\; for\; x > 0 $$ This derivative can be derived using the definition of the derivative or from the properties of logarithms and the chain rule.
Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph
22 Φεβ 2021 · Take the natural log of both sides. Use log properties to simplify the equations. Differentiate both sides using implicit differentiation and other derivative rules.