f (x, y) = (2h - y)(y - x^2) a) find the critical points using partial differentiation b) find the single critical point inside the cross-section, A (attached), and show it is local max. using Hessian determinent

Q: Find local maxima and minima and saddle points of the function f(x,y) = 3xy2+x3-3x2-3y2+2.…

A:

Q: ind the critical points of the function. Then use the second derivative test to classify the nature…

A: fx,y=x3+y2-2xy+7x-8y+5 Second derivative-test : Let a,b be the critical point and Da,b>0 If…

Q: Find a function f so that the maximum rate of change occurs in the direction of u = (1/sqrt(5))…

A: The maximum rate of change occurs at ||grad(f)||. We are given that,       We know that the maximum…

Q: 2. Find absolute extrema of the function f(x,y) =x³-3xy +y³ on the region bounded by the following…

A: (a) (Note: All answers are listed below the explanation.)(b) The minimum value is -1, and the…

Q: 1’) Let f be the function f(x) = x^2 +36/x^2 (a) Calculate f'(x) and find all stationary points for…

A: Solution - Given function - f(x)=x2+36x2 a.)        f'(x)=2x+36-2x-2+1             f'(x)=2x-72x…

Q: Q6: A: If f(x,y)=ycos⁡x+xe^y.find f_x,f_y,f_xx,f_yy,f_xy B: Find the derivative of…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Classify the point (-37, 0) for f(x, y) = sin² x + y² by using Second derivative test if POSSIBLE.…

A:

Q: Let f(x, y) sin r + sin y + sin(r+ y) for 0 <I<5, 0 < y < T. Find the critical points then classify…

A: If its sinx+siny+sin(x+y) Let f(x,y)=sinx+siny+sin(x+y) We havefx=cosx+cos(x + y) y=cosy+cos(x+y)…

Q: Demonstrate the use of the method with reflections on the use of numerical methods, find the minimum…

A:

Q: The second order partial derivative of f with respect to z (mean fz) where f(x, y, z) = x'0 sin(3y +…

A: Given: fx,y,z=x10 sin3y+10z To determine: fzz

Q: Find the critical numbers for z=f(x,y)=xy(x+4)(y-2) and classify the critical points using the 2nd…

A: The given function is

Q: f(x,y) = xln(x^2+y^2)

A: Consider the given function, fx,y=x·lnx2+y2 Obtain the partial derivative w. r. t. 'x' as ,…

Q: find critical points for f(x,y) = (y-x)(x-y^2+5y)

A: