Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the derivative using the definition
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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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 definition of derivative problems step by step online.
$derivdef\left(x^2-4\right)$
Learn how to solve definition of derivative 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 the expression \left(x+h\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Multiply the single term -1 by each term of the polynomial \left(x^2-4\right).