SOLUTION: The co ordinates of the turning point(s) for the curves a) y= x^4 + 2 b) y= 7 - 2x^4

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Question 707295: The co ordinates of the turning point(s) for the curves
a) y= x^4 + 2
b) y= 7 - 2x^4
Answer by mouk(232) About Me  (Show Source):
You can put this solution on YOUR website!
a) +y=+x%5E4+%2B+2+
Differentiating wrt x:
+dy%2Fdx=4x%5E3+
At a Turning Point +dy%2Fdx=0+ so
+4x%5E3+=+0+ giving +x+=0+
When +x+=0+, +y=0%2B2=2+
So TP has coordinates (0,2)

b) +y=+7+-+2x%5E4+
Differentiating wrt x:
+dy%2Fdx=-8x%5E3+
At a Turning Point +dy%2Fdx=0+ so
+-8x%5E3+=+0+ giving +x+=0+
When +x+=0+, +y=7-0=7+
So TP has coordinates (0,7)