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Firstly we need to remove one of the variables. We can use the fact that y has different signs to do this.
3x + 5y = -4 multiplied by 4 gives: 12x + 20y = -16
10x - 4y = -34 multiplied by 5 give...

Let u = cos xdu/dx = -sin xy = u⁴dy/du = 4u³dy/dx = dy/du * du/dx = (4u³ ) * (-sin x) = 4 cos ³ x * -sin x = -4 cos ^{3 <...}

x = -3 , x= -7

x = 1, y = 2

If the second derivative of an equation is positive (d²y /dx² > 0), we can see that this point on a curve is a minimum. This is because, where the first derivative finds the grad...