document.write( "Question 707295: The co ordinates of the turning point(s) for the curves\r
\n" ); document.write( "\n" ); document.write( "a) y= x^4 + 2\r
\n" ); document.write( "\n" ); document.write( "b) y= 7 - 2x^4 \n" ); document.write( "

Algebra.Com's Answer #435655 by mouk(232) $\"\"$ $\"About$

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a) $\"+y=+x%5E4+%2B+2+\"$
\n" ); document.write( "Differentiating wrt x:
\n" ); document.write( " $\"+dy%2Fdx=4x%5E3+\"$
\n" ); document.write( "At a Turning Point $\"+dy%2Fdx=0+\"$ so
\n" ); document.write( " $\"+4x%5E3+=+0+\"$ giving $\"+x+=0+\"$
\n" ); document.write( "When $\"+x+=0+\"$ , $\"+y=0%2B2=2+\"$ \r
\n" ); document.write( "\n" ); document.write( "So TP has coordinates (0,2)\r
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\n" ); document.write( "\n" ); document.write( "b) $\"+y=+7+-+2x%5E4+\"$
\n" ); document.write( "Differentiating wrt x:
\n" ); document.write( " $\"+dy%2Fdx=-8x%5E3+\"$
\n" ); document.write( "At a Turning Point $\"+dy%2Fdx=0+\"$ so
\n" ); document.write( " $\"+-8x%5E3+=+0+\"$ giving $\"+x+=0+\"$
\n" ); document.write( "When $\"+x+=0+\"$ , $\"+y=7-0=7+\"$ \r
\n" ); document.write( "\n" ); document.write( "So TP has coordinates (0,7)
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