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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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Find the derivative of $x^2-x-2$ 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 $x^2-x-2$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
Learn how to solve differential calculus problems step by step online.
$\lim_{h\to0}\left(\frac{\left(x+h\right)^2-\left(x+h\right)-2-\left(x^2-x-2\right)}{h}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of f(x)=x^2-x+-2 using the definition. Find the derivative of x^2-x-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 x^2-x-2. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -1 by each term of the polynomial \left(x+h\right). Multiply the single term -1 by each term of the polynomial \left(x^2-x-2\right). Add the values -2 and 2.
