Final Answer
Step-by-step Solution
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Multiply the single term $x$ by each term of the polynomial $\left(x^2+1\right)$
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$derivdef\left(x^2x+x\right)$
Learn how to solve problems step by step online. Find the derivative of x(x^2+1) using the definition. Multiply the single term x by each term of the polynomial \left(x^2+1\right). When multiplying exponents with same base you can add the exponents: x^2x. Find the derivative of x^{3}+x 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}+x. 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}+x\right).