Find all relative extrema and classify them. Use the Second Derivatives Test. f(x, y) = x²...
Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.) f(x) = x+ 4 relative maximum (x, y) = relative minimum (x, y)
Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.) f(x) = x4 - 4x3 + 1 relative maximum (x,y) - relative minimum (x, y)
3. Find the relative extrema of f(x)= 2r3 +32- 12r-4, and use the second derivative test if applicable.
3. Find the relative extrema of f(x)= 2r3 +32- 12r-4, and use the second derivative test if applicable.
Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.) f(x) = x2 + 3x – 9relative maximum (x, y) = _______ relative minimum (x, y) = _______ Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.) f(x) = x4 + 16x3 - 7 relative maximum (x, y) = _______ relative minimum (x, y) = _______
Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an answer does not exist, enter DNE.) h(t) = t - 4vt + 7 relative maximum (t, y) relative minimum (t, y)
(8 points) Find all critical points and classify them via the second derivative test. (a) f(x,y) = 2.ry+y – 3y - 2 (b) f(x,y) = ye" – y? - I
In 11,) Find = classify any relative extrema Of f(x,y)=2x² 4 xy + 2 / 4 g 12.) Use the method of Lagrange multipliers to minimize f(x, y) = x² + y² subject to the constraint equation - 3x + g = 30 (You do NOT have to verify that it is a minimum.
Find the constrained extrema of the function f (x, y, z) = x + y + z on the plane given by the equation x^2 + 2xy + 2y^2 + 3z^2 = 1.
[1] (10 points) Find the relative extrema and saddle points for the function f(x,y) = x+y? - 6xy +8y. 121 (10 points) Use Lagrange multipliers to find the maximum value of the function f(x,y)=4-x? -y on the parabola 2y = x² +2.
Apply the second derivative test to find the relative extrema of the function f(x)=ln(x2+x+1)