Calculus (Continuity and Differentiability)
Okay, perhaps I shouldn't have given a function to work with. This proble does not given me a function, just a graph of a derivative. This graph has two straight sections, one going downward from the top left and the other increasing toward the top right. These segments me...
Calculus (Continuity and Differentiability)
Alright, I think I'm getting it more now. So, the function is in fact continuous at all points? But is it also differentiable at x = 2? Since I am given the graph of the derivative and x = 2 does produce a value, would it be considered differentiable? I also know that if I...
Calculus (Continuity and Differentiability)
Okay. So I am given a graph of a derivative. From what I can gather, it looks like the function might be abs(x-2)-4. (I was not given an explicit function for g', just its graph.) The question then goes on to ask me: Is it possible, impossible, or certain that the function...
Find the Zeros (Thank you!)
Thank you Damon. The first time I posted this question, someone gave me the answer 3.1216 for the positive zero. But when I double-checked the answer, it didn't work correctly. I figured something was up and wanted to clarify the answer. 3.161593987 works beautifully in so...
Find the Zeros
Find the three zeros for the following function on the interval -5 </= x </= 5 (1 + 50sin(x)) / (x^2 + 3)
Calculus
How did you come up with 3.1216 positive. I've tried to come up with this number but I can't figure it out. Also, it doesn't make 1 + 50 sin(x) = 0.
Calculus
Thank you, this helps tremendously!
Calculus
Find the three zeros for the following function on the interval -5 </= x </= 5 (1 + 50sin(x)) / (x^2 + 3)
Calculus (Derivatives)
Show the steps to get the derivative function of -500/x by evaluating the limit. By limit, they are referring to the equation, lim h -> 0 (f(x + h)-f(x))/h
Calculus
Okay, I know that the derivative functon of the function -500/x is 500/x^2, but I am having a hard time getting to this result using limit notation. Could someone show or explain the steps used in limit notation to get the derivative of 500/x^2?
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