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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A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: $(a-b)^2=a^2-2ab+b^2$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(2x-3\left(x^2-6x+9\right)\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 2x-3(x-3)^2 using the definition. A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: (a-b)^2=a^2-2ab+b^2. Multiply the single term -3 by each term of the polynomial \left(x^2-6x+9\right). Combining like terms 2x and 18x. Find the derivative of 20x-3x^2-27 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 20x-3x^2-27. Substituting f(x+h) and f(x) on the limit, we get.