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1. The curve C has equation y = 3x^4 – 8x^3 – 3 (a) Find (i) d d y x (ii) d d 2 y x 2 (3) (b) Verify that C has a stationary point when x = 2 (2) (c) Determine the nature of this stationary point, giving a reason for your answer.

To differentiate use formula. multiply factor by power then minus one from power (where x is invloved) dy/dx = 12x^3 - 24x^2 d^2y/dx^2 = 36x^2 - 48x (this is just a further differentiation) b) to find statio...
EI
Answered by Elysa I. • Maths tutor
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How do I find the equation of a straight line from a graph?

Let's use a general equation for straight lines, y= mx +c. Here, the m and c represent numbers (or constants), which will differ for each specific line. The number in the place of the m is the gradient of th...
KM
Answered by Katherine M. • Maths tutor
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What are economic stabliziers?

Before trying to figure out what automotic stabilizers are, it is necessary to first understand the business cycle. Business cycle recap: An economy experiences fluctuations. They go through periods of expan...
YE
Answered by Yasmina E. • Economics tutor
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‘Childhood is a time of freedom and happiness, children should retain their innocence into adulthood’ To what extent do you agree with this in regards to Blake’s representation of childhood?

Throughout Songs of Innocence and Experience, Blake makes his opinions known that childhood innocence should be retained through to adulthood. Evidence for this lies especially in his ‘Introduction’ to Innoc...
DG
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Solve 5w – 3 = 3w + 15

You need to solve the question so this means you need to work out the value of w. To work out the value of w you rearrange the terms and make w the subject of the equation. Start with minusing 3w on both sid...
DH
Answered by Danielle H. • Maths tutor
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