Consider the function Consider the function f(x, y) = e^6x cos(-8y). Find and cl

Question

Consider the function

Consider the function f(x, y) = e^6x cos(-8y). Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. f_x = f_y = f_xx = f_xy = f_yy = The critical point with the smallest x-coordinate is (, ) Classification: (local minimum, local maximum, saddle point, cannot be determined) The critical point with the smallest x-coordinate is (, ) Classification: (local minimum, local maximum, saddle point, cannot be determined) The critical point with the smallest x-coordinate is (, ) Classification: (local minimum, local maximum, saddle point, cannot be determined)

Explanation / Answer

given f(x,y)=e6xcos(-8y)

fx=6e6xcos(-8y)

fy=8e6xsin(-8y)

fxx=36e6xcos(-8y)

fxy=48e6xsin(-8y)

fyy=-64e6xcos(-8y)

for critical point fx=0,fy=0

6e6xcos(-8y)=0,8e6xsin(-8y)=0

no point satisfies both the above equations

so there are no critical points

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---