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y=3x-5x^2 + (3x-5)^2 + 2x - 4(3x-5) - 5 = 0x^2 + 9x^2 -30x +25 + 2x -12x + 20 - 5 = 010x^2 -40x + 40 = 010 (x^2 - 4x +4) = 010(x - 2)^2 = 0x=2implies one point of contact, therefore tangenty = 3x - 5y = 6...
Taking: f(x) = (x^(2)+(3x)+1)/(x^(2)+(5x)+8)An application of the quotient rule of differentiation is required. This rule is given as: Where g(x) = u(x)/v(x), g'(x) = ((u'(x)v(x))...
The general rule for differentiation is multiply by the power and decrease the power by one.So if we take each term individually starting with 5x^2, and multiply by the power giving 10 then reduce t...
y= 2x^2 + 8x + 5 is a simple quadratic equation and can be easily differentiated. Consider it in different terms working from left to right: y converts to dy/dx. This just means ‘differentiate y with resp...
Dy/dx = 6x2- 3x + 4y = 12x - 3 + c14 = 12(2) - 3 + (c)14= 24 - 3 + c14 = 21 + cc= -7y = 12x - 10
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