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The chain rule is used to find the derivative of an expression in the form h(f(x)) where you have a function in terms of a function of x for example:
h(f(x)) = 2(3x+1)^3 where f(x) = 3x+1
In or...

Quadratic equations take the form ax^2 + bx + c = 0. In the case above, a = 0, b = -5, c = -14. In order to solve it, we can factorise the equation into the form (x+c)(x+d) = 0. The answers are then x = -...

steps as follows:x times x = x²2 times 5 = 102 times x = 2xx times 5 = 5xthen add these together:y = x² + 7x +10x = -2, -5; y = 0, 10

sin(2x)=sin(x+x) =sin(x)cos(x)+cos(x)sin(x) =2*sin(x)*cos(x); cos(2x)=cos(x+x) =cos(x)cos(x)-sin(x)sin(x) =[cos(x)]²-[sin(x)]² Now let x+y=a and x-y=b, then x=(a+b)/2 and y=(a-b)/2. ...