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Differentiate with respect to x, y = (x^3)*ln(2x)

By product rule,
dy/dx = x³(2/2x) + 3x²ln(2x)
= x²(1 + 3ln(2x))

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Examine the ways in which Plath presents nature in her poetry.

In Plath's poetry, nature is presented in increasingly threatening ways. In 'Wuthering Heights', nature seems to 'funnel her heat away' and the grasses invite her to 'whiten' her bones 'among them', refle...

Answered by Julianna B. • English Literature tutor

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a) Point A(6,7,2) lies on l1. Point B(9,16,5) also lies on l1. Find the distance between these two points. b) l2 lies in the same z plane as l1 and crosses l1 at A and is perpendicular to l1. Express l2 in vector form.

a) Distance between two points ((x2- x1)^2 + (y2-y1)^2)^1/2Substitute in values to find distance.b) Write out l1 in vector form using info from points A and B.Use knowledge of scalar product to construct ...

Answered by Adam N. • Maths tutor

3253 Views

What are the ecological impacts of a changing climate?

There is growing evidence of the ecological impacts of recent climate change in all biomes. Plant and animal species are responding to changes in air temperature, soil moisture and water salinity. Every s...

Answered by Ruby O. • Geography tutor

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