Answer to Question #1687 in Calculus for Abhilash

Question #1687

Find f '(1).
f(x) = (ln(x)) / x^9

Expert's answer

f'(x) = 1/x * 1/x⁹ - 9 ln(x)/x¹⁰ = 1/x¹⁰(1- 9ln(x))
f'(x) = 1/1¹⁰ (1 - 9 ln(1)) = 1 (1-0) = 1

Learn more about our help with Assignments: Calculus Pre-Calculus Differential Calculus Multivariable Calculus

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. Differentiate the function. y = 2x log7(√x)
2. The volume V of a growing spherical cell is given below, where the radius is measured in micrometers
3. Differentiate the function.f(x) = log[sub]9[/sub](xe[sup]x[/sup])
4. A manufacturer estimated marginal cost (MC) and marginal revenue (MR) at various levels of output (q
5. find the function of x f(x) = x^2 + 3x / 2x^2 + 6x + 4
6. For y= 3x/2e^(x) + e^(-x) use graphing techniques to find the approximate intervals on which the fun
7. For y= x^(4)-72x^(2)-17 use analytic methods to find the exact intervals on which the function is..