SOLUTION: A right triangle is formed in the 1st quadrant. It has vertices at A(0,0), B(0,y), and C(x,y). Point C is on the graph of the function f(x)=8+x-x^4. Write an equation to show how t

Question 175227: A right triangle is formed in the 1st quadrant. It has vertices at A(0,0), B(0,y), and C(x,y). Point C is on the graph of the function f(x)=8+x-x^4. Write an equation to show how the triangle area varies with x and find the maximum area.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The area of the triangle is the base times the height divided by 2, or , so the Area function is . The first derivitive of the Area function: , set equal to zero will yield the x coordinate of the extreme point.
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