Final answer to the problem
Step-by-step Solution
Specify the solving method
The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: $(a+b)(a-b)=a^2-b^2$.
Learn how to solve integral calculus problems step by step online.
$derivdef\left(x^2-4\right)$
Learn how to solve integral calculus problems step by step online. Find the derivative of (x-2)(x+2) using the definition. The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. Find the derivative of x^2-4 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 x^2-4. Substituting f(x+h) and f(x) on the limit, we get. Expand \left(x+h\right)^2. Multiply the single term -1 by each term of the polynomial \left(x^2-4\right).