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A curve is defined for x>0 as y = 9 - 6x^2 - 12x^4 . a) Find dy/dx. b) Hence find the coordinates of any stationary points on the curve and classify them.

a) y = 9 -6x^2 - 12x^4 dy/dx = -12x - 48x^3 b) At stationary points dy/dx = 0. -12x - 48x^3 = 0 48x^3 + 12x = 0 4x^3 + x = 0 x (4x^2 + 1) = 0 Either x = 0 or 4x^2 + 1 = 0 However, 4x^2 + 1 = 0 leads to 4x^2 ...
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Answered by Olivia W. • Maths tutor
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How important is it to mention literary devices in essays?

Extremely important! It may seem like a very basic thing to do, but a lot of students spend too much time mentioning how the literary piece makes the reader feel and what it conveys, without mentioning speci...
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Describe how the origin of living systems is explained by natural processes. Please provide supporting evidence for hypotheses.. Sp

Numerous experimental investigations have been conducted to explain the diversity and unity of life. Specifically, these models have aimed to provide evidence that the conditions of early Earth provided an e...
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Answered by Ruth S. • Biology tutor
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Describe the formation of a waterfall?

They occur where a band of hard rock (e.g. granite) overlies a softer rock (e.g. sandstone). Erosion processes such as Hydraulic Action (the force of the water) and Abrasion (where the river rubs stones that...
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Answered by Fleur M. • Geography tutor
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What is transcription?

Transcription is the process of sections of DNA being converted into mRNA (messenger RNA) that occurs in the nucleus of a cell. DNA is made up of a template strand and a coding strand which are complementary...
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Answered by Carolina M. • Biology tutor
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