Final answer to the problem
Step-by-step Solution
Specify the solving method
We can find the derivative of a logarithm of any base using the change of base formula. Before deriving, we must pass the logarithm to base e: $\log_b(a)=\frac{\log_x(a)}{\log_x(b)}$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dn}\left(\frac{\ln\left(\frac{\left(1+a\right)b^{2n}}{\left(b+1\right)^n}\right)}{\ln\left(10\right)}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of log((((1+a)*b^(2*n))/((b+1)^n))). We can find the derivative of a logarithm of any base using the change of base formula. Before deriving, we must pass the logarithm to base e: \log_b(a)=\frac{\log_x(a)}{\log_x(b)}. The derivative of a function multiplied by a constant (\frac{1}{\ln\left(10\right)}) is equal to the constant times the derivative of the function. 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}{\ln\left(10\right)} \times \frac{1}{\frac{\left(1+a\right)b^{2n}}{\left(b+1\right)^n}}.