Final Answer
Step-by-step Solution
Specify the solving method
Simplify the derivative by applying the properties of logarithms
Learn how to solve logarithmic differentiation problems step by step online.
$\frac{d}{dx}\left(\ln\left(\arctan\left(\frac{x}{3}\right)\right)\right)$
Learn how to solve logarithmic differentiation problems step by step online. Find the derivative using logarithmic differentiation method d/dx(ln(arctan((x1)/3))). Simplify the derivative by applying the properties of logarithms. 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}. Taking the derivative of arctangent. Multiplying fractions \frac{1}{\arctan\left(\frac{x}{3}\right)} \times \frac{1}{1+\left(\frac{x}{3}\right)^2}.