Question: Find the derivative of the function. f(x) = 5 ln(x) x7 Part 1 of 3 We are given the logarithmic function f(x) = 5 ln(x)

Find the derivative of the function. f(x) = 5 ln(x) x7 Part 1 of 3 We are given the logarithmic function f(x) = 5 ln(x) x7 . Note that finding the derivative will involve using the Quotient Rule, which we will apply first. dy dx = (x7) d dx (5 ln(x)) (5 ln(x)) d dx (x7) $$ Incorrect: Your answer is incorrect. webMathematica generated answer key 2 Part 2 of 3 We can now apply the Constant Multiple Rule to the first term in the numerator and the Power Rule to the second term in the numerator. Additionally, we can simplify the denominator. dy dx = (x7) d dx (5 ln(x)) (5 ln(x)) d dx (x7) (x7)2 = (5x7) d dx (ln(x)) (5 ln(x)) $$ Incorrect: Your answer is incorrect. webMathematica generated answer key x14 Part 3 of 3 Finally, recall that the derivative of ln(x) is given by the following. d dx ln(|x|) = 1 x Applying this rule gives the following result. dy dx = (5x7) d dx (ln(x)) (5 ln(x))(7x6) x14 = (No Response) Incorrect: Your answer is incorrect. webMathematica generated answer key show me this as simply as you can, show me every step that is taken

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