Final answer to the problem
Step-by-step Solution
Specify the solving method
When multiplying two powers that have the same base ($2x+5$), you can add the exponents
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(\left(2x+5\right)^2\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (2x+5)(2x+5) using the definition. When multiplying two powers that have the same base (2x+5), you can add the exponents. Find the derivative of \left(2x+5\right)^2 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 \left(2x+5\right)^2. Substituting f(x+h) and f(x) on the limit, we get. Expand the expression \left(2\left(x+h\right)+5\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Multiply the single term 20 by each term of the polynomial \left(x+h\right).