Calculus HELP
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Calculus
Use a symbolic differentiation utility to find the derivative of the function g(x)=xã((x^2)+1). Use the utility to graph the function and is derivative on the same set of coordinate axes. Describe the behavior of the function
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Find the derivative function for the following functions using the first principles definition of the derivative limh→0f(x+h)−f(x)h . Show all your steps and include proper notation. a. (4) ƒ(x) = 5x3 b. (5) ƒ(x) = 12x c.
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For the function below, determine the intervals of concavity: f(x)=xlnx I tried doing it but the second derivative would always be f''(x)=1/x, so it would be concave up at x>0 and concave down at x
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Determine the derivative of the function ƒ(x) = x^3 − 12x^2. Now determine the derivative of the function g(x) = x^3 − 12x^2 + 6. How are the two functions related? How are the derivatives of the two functions related?
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