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Calculate the power $3^2$
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$derivdef\left(x+9\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of x+3^2 using the definition. Calculate the power 3^2. Find the derivative of x+9 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+9. 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+9\right). Add the values 9 and -9.