Search over 10,000 free study notes

Let’s say we’re given the equation y=(2x-6)^4we would know how to differentiate x^4, therefore we can take the substitution u=2x-6 to give us the equation y=u^4we then differentiate this equation (dy/du) ...

Using the product rule H(X) = f(x)*g(x) and H'(X) = f'(x)*g(x) + f(x)*g'(x) Where, in this case f(x) = x³ and g(x) = e^x We can easily determine the derivative of the above function.f...

A quadratic equation will always take the form ax² + bx + c, where x is a variable and a, b and c are numbers. The equation may be given to you with several x² values, several x valu...

a) At A y=0, therefore if we solve: 0= (1/x)+1 we get x=-1.b)First step when drawing graphs is to find roots. x=0, x=2. Because x=0 acts as two of roots the graph only touches x=0. The graph is a positive...

25 x 2 = 50
15% = 0.15
50 x 1.15 = 57.5
or
0.15 x 50 = 7.5
50 + 7.5 = 57.5