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Find the derivative of the following function.𝑓(𝑥)=−9𝑥3−𝑥𝑓′(𝑥)=

Question

Find the derivative of the following function.𝑓(𝑥)=−9𝑥3−𝑥𝑓′(𝑥)=

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Solution

To find the derivative of the function f(x) = -9x^3 - x, we will use the power rule. The power rule states that the derivative of x^n, where n is any real number, is n*x^(n-1).

Step 1: Identify the terms in the function. Here we have two terms: -9x^3 and -x.

Step 2: Apply the power rule to each term.

For the

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