Final answer to the problem
Step-by-step Solution
Specify the solving method
Simplify the fraction $\frac{2x+1}{1+2x}$ by $2x+1$
Learn how to solve problems step by step online.
$derivdef\left(1\right)$
Learn how to solve problems step by step online. Find the derivative of (2x+1)/(1+2x) using the definition. Simplify the fraction \frac{2x+1}{1+2x} by 2x+1. Find the derivative of 1 using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is 1. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values 1 and -1. Zero divided by anything is equal to zero.