document.write( "Question 1085901: I'd be very greatful if you could help me with this question in partial derivatives.
\n" ); document.write( " Find the first partial derivatives of
\n" ); document.write( " a. h(x,y) = e^ −(x2+y2)
\n" ); document.write( " b. 𝑧 = 𝑒^(𝑦) sin𝑥𝑦
\n" ); document.write( " p.s : i'm pretty sure this question comes under the category I chose so please excuse that :)
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Algebra.Com's Answer #700010 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"h%28x%2Cy%29+=+e%5E%28-%28x%5E2%2By%5E2%29%29++\"\r
\n" ); document.write( "\n" ); document.write( "apply the exponential function rule: \"%28e%5E%28u%28x%29%29%29\"’=\"e%5E%28u%28x%29%29\"*\"u\"\"%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"%28d%2Fd%5Bx%5D%29%28+e%5E%28-%28x%5E2%2By%5E2%29%29+%29\"\r
\n" ); document.write( "\n" ); document.write( "= \"e%5E%28-%28x%5E2%2By%5E2%29%29%2A%28d%2Fd%5Bx%5D%29%28-%28x%5E2%2By%5E2%29%29\"\r
\n" ); document.write( "\n" ); document.write( "= \"e%5E%28-%28x%5E2%2By%5E2%29%29%2A%28d%2Fd%5Bx%5D%29%28-x%5E2-y%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "=\r
\n" ); document.write( "\n" ); document.write( "= \"e%5E%28-%28x%5E2%2By%5E2%29%29%2A%280-2x%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"+-2x%2Ae%5E%28-%28x%5E2%2By%5E2%29%29\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2.\r
\n" ); document.write( "\n" ); document.write( " \"z=e%5E%28y%29+sin%28xy%29+\":\r
\n" ); document.write( "\n" ); document.write( "\"%28d%2Fd%5Bx%5D%29%28e%5E%28y%29+sin%28xy%29%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"e%5E%28y%29+%28d%2Fd%5Bx%5D%29%28+sin%28xy%29%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"e%5E%28y%29+%2Acos%28xy%29%28d%2Fd%5Bx%5D%29%28+xy%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"y%2A%28d%2Fd%5Bx%5D%29%2Ae%5E%28y%29+cos%28xy%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"1%2Ay%2Ae%5E%28y%29+cos%28xy%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"ye%5E%28y%29+cos%28xy%29\"\r
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