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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Multiply $10$ times $8$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(80x^3\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 10x^3*8 using the definition. Multiply 10 times 8. Find the derivative of 80x^3 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 80x^3. Substituting f(x+h) and f(x) on the limit, we get. The cube of a binomial (sum) is equal to the cube of the first term, plus three times the square of the first by the second, plus three times the first by the square of the second, plus the cube of the second term. In other words: (a+b)^3=a^3+3a^2b+3ab^2+b^3 = (x)^3+3(x)^2(h)+3(x)(h)^2+(h)^3 =. Multiply the single term 80 by each term of the polynomial \left(x^3+3x^2h+3xh^2+h^3\right).