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We want to make y the subject of the equation and so we need to write it in the form y=f(x) where f(x) is a function in terms of x.When rearranging equations with fractions for a certain subject, factoris...

There are two main ways of solving this equation, substitution and elimination, here we go through the susbtitution method. This involves rearranging one of the equations to get one of the variables in...

Begin by considering the numerator and denominator separately, simplify both:
1) 3x^2 - 15x
Here, a common factor of 3x can be removed to give 3x(x^2 -5).
2) 3x^2 - 13x -10
This involv...

y = x²(cos(x)) therefore we will need to use the product rule, 

dy/dx = u dv/dx + v du/dx

where u = x² and v = cos(x)

du/dx = 2x and dv/d...