Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Load more...
Taking the derivative of arctangent
Learn how to solve differential calculus problems step by step online.
$\frac{1}{1+\ln\left(6x^5\right)^2}\frac{d}{dx}\left(\ln\left(6x^5\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of arctan(ln(6x^5)). Taking the derivative of arctangent. 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}. Multiplying fractions \frac{1}{1+\ln\left(6x^5\right)^2} \times \frac{1}{6x^5}. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.
