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To differentiate composite functions, (a function within a function) like in this case we need to use the chain rule. We can see that F(x)=f(g(x)) where we let f(x)= (x^2+1)^2 and g(x)= x^2+1. To use the cha...

A radian is the angle in a segment that gives an arc length of 1 radius. This is another way to measure angles instead of degrees. As the circumference of a circle is 2 pi r, we have 2 pi radiuses in the cir...

When we complete the square, we're looking for an equation that looks like (x-a) 2 + (y-b) 2 = r 2 , where (a,b) is the centre and r is the radius. When we expand brackets using FOIL, the x part is (x 2 -2ax...

3-1=2 2X2 = 4 2-1= 1 =3x^2- 4x

The function f(x) is a product of 2 functions of x, so when we differentiate it, we need to use the product rule. The product rule states that for a function f(x) = g(x)*h(x), f'(x) is given by g(x)*h'(x) + ...