Use the product rule to find the derivative of the following function.𝑦=9𝑥(𝑥2−8𝑥+6)4

Question

Use the product rule to find the derivative of the following function.𝑦=9𝑥(𝑥2−8𝑥+6)4
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Solution 1

The product rule states that the derivative of a product of two functions is the derivative of the first times the second plus the first times the derivative of the second.

Let's denote: f(x) = 9x g(x) = (x^2 - 8x + 6)^4

We need to find f'(x) and g'(x).

f'(x) = derivative of 9x = 9

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