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  1. AI explanations are generated using OpenAI technology. AI generated content may present inaccurate or offensive content that does not represent Symbolab's view. A function basically relates an input to an output, there’s an input, a relationship and an output.

  2. The Function Calculator is a tool used to analyze functions. It can find the following for a function: parity, domain, range, intercepts, critical points, intervals of increase/decrease, local and global extrema, concavity intervals, inflection points, derivative, integral, asymptotes, and limit. The calculator will also plot the function's graph.

  3. 4 days ago · Ann Arbor, MI: J. W. Edwards, pp. 135-137, 1952. Involute. MathWorld. Attach a string to a point on a curve. Extend the string so that it is tangent to the curve at the point of attachment. Then wind the string up, keeping it always taut. The locus of points traced out by the end of the string is called the involute of the original curve, and ...

  4. To find its inflection points, we follow the following steps: Find the first derivative: $$ f^ {\prime} (x)=3x^2 $$. Find the second derivative: $$ f^ {\prime\prime} (x)=6x $$. Set the second derivative equal to zero and solve for $$$ x $$$: $$ 6x=0 $$. This gives us $$$ x=0 $$$. So, $$$ x=0 $$$ is a potential inflection point of the function ...

  5. Input any function f (x) below. The parameter "k" represents the x-coordinate of the "starting point" of the involute. Move the parameter "a" to see the line roll across the curve of your choice. 1. Expression 2: "f" left parenthesis, "x" , right parenthesis equals f x =. Expression 3: "q" left parenthesis, "b" , right parenthesis equals Start ...

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  7. f x = 1 10 x2. y = f ′ a x − a f ′ a + f a. L = ∫at 0 1 + f ′ x 2 dx. at − L 1 + f ′ at 2, f at − L f ′ at 1 + f ′ at 2. a = 11. powered by. Log In or. to save your graphs! New Blank Graph.

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