f(x, y) = e Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx = fy= fxx = fay= fyy= The critical point with the smallest x-coordinate is ) Classification: determined) The critical point with the next smallest x-coordinate is Classification: determined) The critical point with the next smallest x-coordinate is ( determined) -10x-x²-6y-y² Classification: (local minimum, local maximum, saddle point, cannot be |(local minimum, local maximum, saddle point, cannot be (local minimum, local maximum, saddle point, cannot be

Q: Find all critical numbers of the function f(x) = x -8x. Then use the second-derivative test on each…

A: We find the first and the second derivative using the power rule

Q: 6) Given the function y = x³ - 3x. Find all the critical points, any local maximum or minimums, the…

A: 6)y=f(x)=x3-3xf'(x)=3x2-3f'(x)=0x2-1=0Critical points of f(x)     x=-1, x=1f'(x)=3(x2-1)f'(x)>0…

Q: 2. Determine the equation of the following function. State your answer as a piecewise function. y 10…

A:

Q: Find the critical point and use the First Derivative Test to determine whether it is a local minimum…

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Q: Determine the critical numbers, if any, of the function f. f(x) = 3x* + 6x³ – 24x? – 72x + 22

A:

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: .3 1. f(x) = х—1

A: As per guidelines, we will solve the first question only. 1. Given function is fx=x3x-1