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First we use the product rule, so we multiply x by the derivative of (x+3)⁵. To find the derivative of (x+3)⁵ we use the chain rule. So we have 5(x+3)⁴. So the first part...

In order to solve these simultaneous equations we first want to eliminate one of the variables (x or y) and find a solution to the variable remaining (y or x) and then use this solution to find the second...

Find roots, stationary points, classify, sketch.

 I will be assessing you in what you have done so far including Algebra that you are struggling with in order to identify your strengths and areas of improvement.

1. First the power will be taken into account: multiply by 10 and take one away from the power:
   y = 10(3x-1)^9
   2) Then we will differentiate what is in the brackets and multiply it by step 1:...