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- Find the derivative using the definition
- Exact Differential Equation
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- Find the derivative using the product rule
- Find the derivative using the quotient rule
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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 $\displaystyle f'(x)=\frac{a'}{a}$
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$\frac{1}{x+y}\frac{d}{dx}\left(x+y\right)=4$
Learn how to solve problems step by step online. Find the implicit derivative d/dx(ln(x+y))=4. 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 a sum of two or more functions is the sum of the derivatives of each function. Multiply both sides of the equation by x+y. Any expression multiplied by 1 is equal to itself.
