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In order to find the stationary points we need to find the first derivative, set it to 0 and solve for x. We can then use this value to find the value for y.y = e^{(3x-x^3)}We know for the derivat...

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...

Find roots, stationary points, classify, sketch.

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:...

In this case the question has given you a clue as to the order that you solve the question. So, first we need to expand the brackets, multiplying each term by one another to get; y=8x^6 - 36x^4 + 6x^3 - 2...