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This is an example of a question where you would use the product rule, where if y = uv then dy/dx = udv/dx + vdu/dx. In this case u = 2x and v = ln(x). So first of all we will differentiate 2x wh...

(x+3)(x+2)To check this, use the 'FOIL' (first, outside, inside, last) method to ensure the answer is correct.x^2+2x+3x+6x^2+5x+6

x²+y²=25; y-3x=13; x²+(13+3x)²=25; x²+9x²+78x+169=25; 10x²+78x+144=0; 5x²+39x+72=0; (5x+24)(x+3)=0; x=-24/5 and y=-7...

dy/dx=(dy/dt)*(dt/dx); dy/dt=3+16t^-3; dx/dt=3(t-1)²; dt/dx=1/3(t-1)²; dy/dx=(3+16t^-3)/3(t-1)²

x³ - 6x² + 11x - 6 = 0
Let (x-a)(x-b)(x-c) = x³ - 6x² + 11x - 6=> abc = -6 and a + b + c = -6 From abc=-6, find the possibilities of their values: (1,2,...