The domain for the natural logarithm is the set of all real numbers and is also differentiable. Therefore the function is continuous from (0, infinity) since the log of any positive number results in an answer that exists, the range is from - infinity to + infinity. I think my problem was from...
Sorry I've just been off tonight. Under the attempted solution part I put F'(x)= 1/t . What I meant was the antiderivative was log(t). That one is a no brainer. I'm having some trouble explaining why it's continuous. And yes, it is from the interval (0, infinity), sorry about that. Thank...
Homework Statement
How is this function continuous from 0 to infinity
F(x) = \int\frac{1}{t}dt from x to 2x
Homework Equations
I am fairly sure that this equation uses the properties of natural logs to solve.
Also an infinite function has a derivative that is equal to 0.
The...
y= x / (x + 1) I need to find the equation of every line tangent to the curve which passs through the point (-1, 3). The problem arises when you find the first derivative then plug in the x value which results in an answer of 0 in the denominator. Any help?
Why is it that when you place a test tube over a burning candle in a peatree dish with water, that the candle goes out and then the water from the dish rises into the test tube. Mainly what are the reasons that the water rises. I am kind of going with the "temperature and pressure are related"...