Posted by **Evan** on Tuesday, April 17, 2007 at 6:34pm.

Given y=log(x), what is dy/dx?

If you have to derive this from first principles, then you have to use the defintion of the Logarithm. E.g. you could use that the Logarithm is the inverse of the exponential function and that the derivative of the exponential function is the exponential function itself.

y = Log(x) -->

x = Exp(y)

dx/dy = Exp(y) = x --->

dy/dx = 1/(dx/dy) = 1/x

## Answer this Question

## Related Questions

- pre calculous - use the properties of logarithms to write the expression as a ...
- logarithm - So I have to an expression as the logarithm of a single number or ...
- Calculus - Use the Laws of logarithms to rewrite the expression log(1000000x^19)...
- math - use the change-of-base formula to write the given logarithm as a multiple...
- Math - Logarithm - Solve the following logarithm equation. Please show all of ...
- pre-calculus - given that c is the logarithm of x in base a, and d is the ...
- math - write as a single logarithm: -2logbase3(1/x)+(1/3)logbase3(square root of...
- Precalculus - 1. Write the given expression as a single logarithm. log(70x)+log(...
- math - given that c is the logarithm of x in base a, and d is the logarithm of x...
- math - Use the Laws of logarithms to rewrite the expression log(base 2)(11x(x-9...

More Related Questions