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  1. Number Line. Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph.

    • Proofs of The Derivative of Natural Logarithm of X^2
    • Graph of Ln(X^2) vs. Its Derivative
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    Listed below are the proofs of the derivative of ln⁡(x2)\ln{\left(x^2\right)}ln(x2). These proofs can also serve as the main methods of deriving this function.

    The graph of the function f(x)=ln⁡(x2)f(x) = \ln{\left(x^2\right)}f(x)=ln(x2) is And as we know by now, by deriving f(x)=ln⁡(x2)f(x) = \ln{\left(x^2\right)}f(x)=ln(x2), we get f′(x)=2xf'(x) = \frac{2}{x}f′(x)=x2​ which is illustrated graphically as Comparing the graphs, we have Using these graphs, you can see that the original function (f(x) = \ln(...

    Interested in learning more about the derivatives of logarithmic functions? Take a look at these pages: 1. Derivative of Natural log (ln(x)) with Proofs and Graphs 2. Derivative of ln(2x) with Proofs and Graphs 3. Derivative of ln(3x) with Proofs and Graphs 4. Derivative of x ln(x) with Proofs and Graphs 5. Derivative of ln(x+1) with Proofs and Gra...

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  2. Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Derivative of ln(x) | Desmos

  3. Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

  4. What is the derivative of ln(x2)? The derivative of ln x with respect to 'x' is 1/x. Denoted as d/dx [ln(x^2)], it represents the rate of change of the natural logarithmic function ln x. In other words, it quantifies how the value of ln x^2 changes as x varies. Alternatively, ln(x^2) can be expressed as; ln(x2)=loge x2. which denotes the ...

  5. The derivative is an important tool in calculus that represents an infinitesimal change in a function with respect to one of its variables. Given a function f x, there are many ways to denote the derivative of f with respect to x. The most common ways are. Start Fraction, Start numerator, d f , numerator End,Start denominator, d x , denominator ...

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  7. Enter the function you want to differentiate into the Derivative Calculator. Skip the f(x)= part! The Derivative Calculator will show you a graphical version of your input while you type. Make sure that it shows exactly what you want. Use parentheses, if necessary, e.g. a/(b+c). Write decimal fractions with a period instead of a comma, e.g. 3.141.

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