Find and classify all the critical points of f(x, y) = (x - 1)y2 - x3

Q: The function f(x) = 2x + 6x? - 5x + 1 is concave upward on the interval O None (-0, c0) (-1, c0)…

A: Given, y=f(x)=2x3+6x2-5x+1 In this we have to find differentiation of function till when all the…

Q: The critical point of the function f(x) = a – 6x² + 16x + 13 is %3D - (1, –4) (-2,4) (2, 4) (-2, –4)

A: The critical point of the function y=fx is the point where f'x=0. The power rule of differentiation…

Q: Find the critical points of y=(16-2x)(30-2x)x in an interval [0,8]

A:

Q: find the critical points for the function f(x)= 2x³ – 3x² – 72x-11

A:

Q: Find the maximum point for the function f(x) = 1 + 12x – 4x O (-1, -7) O (2, -7) O (0, 1) (1, 9)

A:

Q: 를 f(x)= x (x-3) Find all critical Point and classify them if possible.

A: To find the critical points of the function f(x) = x^(3/2)(x - 3), we need to find the values of x…

Q: b- Determine the critical point of the function f(x) = x5 – 5x* + 5x³ –- 1 %3D

A:

Q: find the critical point for the function f(x)=2 x³ +3 x2 – 12x+4 X' 3,-4 O -1,2 O 1,-2 O None

A:

Q: find the critical point for the function f(x)=2 x3+3 x2 - 72x+ 14 %3D O None O 4,3 -1,2 O 3,-4

A:

Q: Find the positive critical point of the function f (x) %3D x4 + 7 x =

A:

Q: Find all critical points for the function f(xy)=x* +y* – 16-x-y.

A:

Q: ,2 Let f(x) = x – 12x -27x + 1. Find the critical points of f(x).

A: Find the derivative as follows: f'x=ddxx3-12x2-27x+1        =3x2-24x-27

Q: Find the linearization of the function at x = 1. * f (x) = 2x³ - 3x + 7 O y = 6 + 1(x - 3) O y = 6 +…

A: Given, fx=2x3-3x+7

Q: Let f(x) = x³ - x² – 54x + 2. Determine any critical points of

A:

Q: Find and classify the extreme point of the function f(x, y) 3y2x + x³ - 3y3 - 3x? + 2.

A:

Q: Let  g(x) = x2−2x−4 on [-2, 4] , then the fixed points for g(x) are

A: A fixed point in a function is following below situation. f(x) = x. Similarly in above case. g(x) =…

Q: The function f(x) = 2x + 6x² – 5x + 1 is concave downward on the interval None (-0, –1) (-0, c0)…

A: Concavity.