# Math

posted by .

f(x)=x^5x Use logarithmic differentiation to determine the derivative.

• Math -

let y = x^(5x)
ln y = ln(x^(5x))
lny = 5x lnx

y'/y = 5x(1/x) + 5lnx
y ' = y (5 + 5lnx)
= 5x^(5x) (1 + lnx)

## Similar Questions

1. ### Calculus

I need to find the derivative of the following problem via logarithmic differentiation, but I'm getting stuck. I know how to solve via logarithmic differentiation, but I can't figure out how to re-write the exponent(s) as logs. Could …
2. ### Calculus

Use logarithmic differentiation to determine the derivative of the function defined by f(x)=x^5(x-3)^9/(x^2+2)^4
3. ### math

Let f(x)=((x^(6))*((x-8)^(2)))/((x2+4)^(7)) Use logarithmic differentiation to determine the derivative. f '(x) = f '(8) =
4. ### Calculus Help

Use logarithmic differentiation to find the derivative of the function. y = (tan x)^(7/x)
5. ### math

Use logarithmic differentiation to find the derivative of the function. y = (cos 2x)x
6. ### calc

Use logarithmic differentiation to find the derivative of the function. y = (x^4 + 2)^2(x^3 + 4)^4
7. ### math

Use logarithmic differentiation to find the derivative of the function. y = (x^4 + 2)^2(x^3 + 4)^4
8. ### Calculus 1

Use logarithmic differentiation to find the derivative of the function. y = x^(8cosx)
9. ### Calculus 1

Use logarithmic differentiation to find the derivative of the function. y =sqrt(x)^3x
10. ### Math

Use logarithmic differentiation to find the derivative of y: y=x^(e^x)

More Similar Questions