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When differentiating a composite function y = (4x²-1)³ , the chain rule needs to be used.
The chain rule is dy/dx= dy/du x du/dx
In this instance we need to assign u and y ...

First we need to draw a velocity-time diagram, which has time on the x-axis, or bottom, and velocity on the y-axis, or left.The ball begins from a stop, so we can draw a dot at (0,0). It accelerates until...

If Fred and Julie share £60 in a 5:7 ratio, Fred will get 5/12ths of the money and Julie will get 7/12ths of the money. All together there will be 12 parts of the money because 5 + 7 = 12So, you need to d...

10x^2+4xy-15xy-6y^210x^2-11xy-6y^2

1. change mixed numbers into improper fractions 3 3/4 = 12/4 + 3/4 = 15/4 4 6/7 = 14/7 + 6/7 = 20/7
   2) multiply improper fractions(15 x 20) / (4x7) = (300) / (28)
   3) simplify 75/7
   4) con...