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To solve these simultaneous equations, you must add/subtract both equatons from each other to eliminate one variable, allowing you to work out the value of the other. As you can see from these particular equ...

To find the derivative, you look at each term and multiply the constant in front of the x by the power of x. Also you must lower the power of x by one after this step. So 5x 3 would be differentiated to 15x ...

Firstly, you can see from the equation that each bracket must contain an x since these multiply together to give the x 2. So you get (x..)(x..) Next, to obtain the last number of the equation you must have t...

8 (x-1) = 6 3x 2 3(x-1) = (2 * 3) 3x 2 3x * 2 -3 = 2 3x * 3 3x / : 2 3x 2 -3 = 3 3x / ln ln(2 -3 ) = ln(3 3x ) -3 ln(2) = 3x ln(3) / :3 - ln(2) = x ln(3) x = - ln(2)/ln(3)

Graph sketching can look like an intimidating process at times, but is easily broken down into a collection of fairly easy stages. In summary: Factorise the equation - Find the roots/intersections of the equ...