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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Simplify the fraction $\frac{x^3}{x^4}$ by $x$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(x^{-1}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (x^3)/(x^4) using the definition. Simplify the fraction \frac{x^3}{x^4} by x. Find the derivative of x^{-1} 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^{-1}. Substituting f(x+h) and f(x) on the limit, we get. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Combine \frac{1}{x+h}+\frac{-1}{x} in a single fraction.