Find the derivative of ln(10x) |
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Final answer to the problem
$\frac{1}{x}$
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Step-by-step Solution
How should I solve this problem? Choose an optionFind the derivative using the definitionFind the derivative using the product ruleFind the derivative using the quotient ruleFind the derivative using logarithmic differentiationFind the derivativeIntegrate by partial fractionsProduct of Binomials with Common TermFOIL MethodIntegrate by substitution Load more... Can't find a method? Tell us so we can add it. 1The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If $f(x)=ln\:a$ (where $a$ is a function of $x$), then $\displaystyle f'(x)=\frac{a'}{a}$ $\frac{1}{10x}\frac{d}{dx}\left(10x\right)$Learn how to solve differential calculus problems step by step online. $\frac{1}{10x}\frac{d}{dx}\left(10x\right)$ Unlock unlimited step-by-step solutions and much more! Create a free account and unlock a glimpse of this solution.Learn how to solve differential calculus problems step by step online. Find the derivative of ln(10x). The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}. The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1. Multiply the fraction and term. Final answer to the problem $\frac{1}{x}$ |
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