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The chain rule can be used to find more complex derivatives.For example, in the case of: y = (5x + 2)⁵To find the derivative in the ordinary fashion, one would need to expand the brackets to:y=...

A firm competing in a perfectly competitive market is considered a price taker and is unable to set their own prices due to characteristics such as selling homogeneous goods with many buyers and sellers ,...

Looking at this period German nationalism did lack popular appeal to a large extent in the early period until 1862 onwards where leaders popularised it. To fully consider what extent German nationalism la...

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) ...

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...