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Add the values $\frac{8}{9}$ and $8$
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$derivdef\left(\frac{80}{9}+x^2\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 8/9+x^2+8 using the definition. Add the values \frac{8}{9} and 8. Find the derivative of \frac{80}{9}+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 \frac{80}{9}+x^2. Substituting f(x+h) and f(x) on the limit, we get. Expand \left(x+h\right)^2. Multiply the single term -1 by each term of the polynomial \left(\frac{80}{9}+x^2\right).