Compute $f _ { y y }$ for $f ( x , y ) = e ^ { 6 x y }$ .
A) $36 x ^ { 2 } e ^ { 6 xy }$
B) $36 y ^ { 2 } e ^ { 6 x y }$
C) $36 e ^ { 6 x y }$
D) $36 x ^ { 2 } y ^ { 2 } e ^ { 6 xy }$

Question

Quizplus · Accepted Answer

The second partial derivative of $f(x, y) = e^{6xy}$ with respect to $y$ is $f_{yy} = \frac{\partial^2}{\partial y^2}(e^{6xy}) = 36x^2 e^{6xy}$.

Compute fyyf _ { y y }fyy​ For f(x,y)=e6xyf ( x , y ) = e ^ { 6 x y }f(x,y)=e6xy

Compute $f _ { y y }$ For $f ( x , y ) = e ^ { 6 x y }$