# Tagged Questions

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### Speediness and correctness when graphing by hand .

First of all thank you for visiting this question! I believe it's a pretty simple problem but get's kinda hairy and time consuming on each step as I have done it, so my question (the one you are here ...
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### Describe the graph of f if the graph of its integral its given

Describe the graph of $f$ if the graph of its integral $g(t) = \int_{0}^{t} f(s) ds$ is: graphic of g graphic of f I analyze the derivative and the sign of the derivative and try to find ...
113 views

### Points on $(x^2 + y^2)^2 = 2x^2 - 2y^2$ with slope of $1$

Let the curve in the plane defined by the equation: $(x^2 + y^2)^2 = 2x^2 - 2y^2$ How can i graph the curve in the plane and determine the points of the curve where $\frac{dy}{dx} = 1$. My work: ...
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### description of the function whose graph corresponds to Figure

Consider f be a real continuous function , $f(0) = 0$ , and whose graph has the form shown in the figure: a) How can a give description of the function whose graph corresponds to Figure. b) Sketch ...
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### How can the point of inflection change before the vertical asymptote?

I have to draw a graph of a function which seems to have an inflection point AFTER the vertical asymptote. i.e. f(x) = $\tan^{-1}\left({\frac{x-1}{x+1}}\right)$ Using the quotient rule, I get... ...
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### Are intervals considered local min/max values of a function?

If you have a function with an interval. i.e. $y = 5x$ where $0 \leq x \leq 5$ Obviously the function itself has no local min/max, but if the function is only for the interval between $0$ and $5$, ...
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### How can you find the x-coordinate of the inflection point of the graphs of f'(x) and f''(x)?

So I understand how to find the inflection points for the graph of f(x). But basically, I have been shown a graph of an example function f(x) and asked the state the inflection points of the graph. ...
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### Function with a constant infinite order derivative, infinite final value, 0 initial value, and graph that resembles geometric growth

Please forgive my vocabulary & usage because I'm only a math amateur, so I'll try to describe this the best I can. Does such a function exist that has an infinite order derivative with a constant ...
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### How do computers draw function graphs?

Could anyone give me a general overview of the algorithm computers use to draw graphs? I'm guessing it is either by graphing many, many points and just connecting them or by doing a general study of ...
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### How can I calculate the derivative of the derivative using the tangent line?

How can I calculate the derivative of the derivative of a function $f(x)$ using the tangent line of a point from that function $f(x)$ ?
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### Number of points of non-differentiablity in a graph

Hahaha it seems all my questions are going to be calculus-based. :P Another doubt, here's the question: Let $f(x) = \max(\cos x,\hspace{2mm} x, \hspace{2mm}x-1)$, where $x \geq 0$. Then number of ...