differntiate two sides of the equation:
left is equat to :
so we have:
then we have:
I'm trying to find how to take the derivative of 2^x by use of the difference quotient, rather than simply using derivative rules. I know it's ln(2) * 2^x, but I need to essentially prove it. Does anyone know how?
But toraj58's response doesn't address the question: find the integral using the difference quotient; i.e. the basic definition of the derivative.
pantsaregood, the difference quotient for a function f if [f(x+h)- f(x)]/h. What is that when ? You can use one of the laws of exponents to simplify that a little.