find the coordinates of the single stationary point of the curve with equation y=8x^2 + 2/x
rewrite the equation in a more helpful way:y=8x2 + 2x-1 differentiate:dy/dx = 16x -2x-2set equal to 0 and solve for x16x -2x-2 = 016x -2/ x2=016x= 2/ x216x3=28x3=1x3=1/8x=1/2note: x cannot be -1/2sub x into original curve equation:y= 8(0.5)2 + 2/0.5y= 2+ 4y=6
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All answers ▸Solve 4x+y=7 and 3x+2y=9
What is BODMAS?
An ice cream cone with a base 4.5 cm in diameter and whose height is 10 cm is filled with ice cream. What is the volume of ice cream to 3 d.p.? If the density of ice cream is 1095 kg/m^3, what is the mass of ice cream in 5 cones to 3 s.f.?
ln(2x^2 +9x-5) =1+ ln( x^2+2x-15)