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When multiplying exponents with same base you can add the exponents: $x^2x$
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$derivdef\left(x^{3}+3\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of x^2x+3 using the definition. When multiplying exponents with same base you can add the exponents: x^2x. Find the derivative of x^{3}+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 x^{3}+3. 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^{3}+3\right). Add the values 3 and -3.