Search over 10,000 free study notes

This is simplified by solving common terms (the x's and the y's). Where X and Y terms can't be solved together. Splitting it up: You can see 2x-x= x and for the Y terms (+)6y+2y=8y Therefore the final answer...

The chain rule is used when we have a function in the form f(g(x)). For example sin(x^3). [In this case, f(x) = sin(x) and g(x) = x^3] The chain rule says that the derivative of f(g(x)) is g'(x)*f'(g(x)). Fo...

'Factorise' essentially means put into a simpler form, in this case with two sets of linear equations which would multiply out to give the quadratic equation shown above. What we are looking for to begin wit...

The question can be broken into two steps, 1) dy/dx is asking to differentiate y=x 3 +5x+3 with respect to x Differentiating we multiply by the current power and lower this powers value by 1. ( Constants dif...

When you differentiate, you multiply by the old power and decrease the power by 1. If the expression has a constant in it, this differentiates to 0. So the answer is 3y^(3-1) + (3x2)y^(2-1) + 0 = 3y^2 +6y