Monday

September 1, 2014

September 1, 2014

Posted by **Carly** on Monday, July 18, 2011 at 4:37pm.

y= 5^x + 15/x^6

I'm assuming I need to take the natural log of each side, but I get stuck after that part.

- Calculus -
**Damon**, Monday, July 18, 2011 at 4:50pmI would split it into two problems and add the result.

y = 5^x

ln y = x ln 5

y'/y = ln 5

y' = y ln 5

y' = 5^x ln 5

then

y = 15 x^-6

y' = 15(-6) x^-7

y' = -90/x^7

so finally

y' = 5^x ln 5 - 90/x^7

**Answer this Question**

**Related Questions**

Math - I understand generally how to solve, by taking natural logs and the the ...

chemistry - Please, can someone help? Evaluate log 1. This is my work up until I...

Math (Calculus) - y= x^(2x+1) find the derivative of the function using natural ...

Pre calculus - Okay, I'm really fuzzy about my log and exponential chapter. For...

calculus - what is the derivative? - Let f(x) = 2x^2 + 1 a. Find the derivative ...

Calculus - I need to find the second derivative of y=x(x-1)^1/2. I found the ...

Calculus - For 0 < x < PI/2, if y = sin(x)^x, then dy/dx is.. I understand...

Calculus - Find the inverse of each relation: y = (0.5)^(x+2) and y = 3log base ...

Engineering - I need help solving the following simultaneous equations, for the ...

calculus - Use a linear approximation of f(x)=log(x) at x=1 to approximate log(3...