Find the critical point and determine if the function is increasing or decreasing on the given intervals. y = x^7/2- 7x^2, x > 0 critical point:

Q: Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative…

A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or…

Q: Find the critical numbers of the function f(x)=12x^5+75x^4-80x^3+2 and classify them using a graph.

A: The objective of this question is to find the critical numbers of the given function and classify…

Q: Consider the function h (x) = 2x^2 – 8x – 10. Find its vertex

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Q: ind the exact location of all the relative and absolute extrema of the given function: h(t)= 2t^3…

A: find critical point and check sign of double derivative at critical point

Q: find the intervals where the function is BOTH decreasing and concave up. f(x) = (x^3) - (7x^2)-5x+9

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Q: Let f(x) = −3x² + 1 1 X3 + −xª. Find all local and absolute maxima and minima of f.

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Q: Find the critical points and determine if the function is increasing or decreasing at the given…

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