Given ( f(x, y)=3 x^{6} cos left(y^{9} ight) ), find [ egin{array}{l} f_{x y}(x, y)= \ f_{y y}(x, y)= end{array} ]
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Taking the partial derivative of \( f(x, y) \) with respect to \( x \) means treating \( y \) as a constant and differentiating \( 3x^6 \cos(y^9) \) with respect to \( x \). The derivative of \( 3x^6 \) with respect to \( x \) is \( 18x^5 \), and the derivative Show more…
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