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x 3 - 6x 2 + 11x - 6 = 0 Let (x-a)(x-b)(x-c) = x 3 - 6x 2 + 11x - 6=> abc = -6 and a + b + c = -6 From abc=-6, find the possibilities of their values: (1,2,-3), (1,-2,3), (-1,2,3), (-1,-2,-3), (1,1,-6), (...

Since this problem contains both xs and ys on the right hand side, we need to use implicit differentiation. This is where we use the chain rule to differentiate with regards to x the terms which contain ys. ...

We find the eigenvalues (here called "k") by solving the characteristic equation det(M - kI) = 0. For a 2x2 matrix ((a, b), (c,d)) the determinant is a d - b c, we set this equal to zero and solve ...

Notice that y can be expressed as y=f(x)g(x), in which f(x)=e^(2x) and g(x)=x^2-4x-2.Through the product rule, we know that dy/dx=f'(x)g(x)+f(x)g'(x).Through the chain rule, we can solve f(x) by rewriting in...

The method used to find the derivative (dy/dx) of the equation is to: "Multiply the coefficient of x by the power then deduct the power x is raised to by 1" Step 1: 3x^4 Carry the power of 4 down a...