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A curve has the equation y = (x^2 - 5)e^(x^2). Find the x-coordinates of the stationary points of the curve.

This requires the chain rule and the product rule to be used to differentiate the function. The substitution u = x 2 can be used to make this easier. Using this, du/dx = 2x and y = (u-5)e u . Using the produ...
OJ
Answered by Oliver J. • Maths tutor
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Compare and Contrast Meiosis and Mitosis

Similarities: Types of cell division which take place in Eukaryotic cells Differences: Meiosis - Occur in sex cells to produce haploid daughter cells; non-identical; recombination in order to produce genetic...
LA
Answered by Lydia A. • Biology tutor
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Consider the view that “spiritual or otherwise, Donne’s poems are consistently grounded in the physical world of his time.” [40]

In ‘Hymn to God, My God in my Sickness’, the poet reflects on past experience to prepare for a metaphysical future beyond the grave. Whilst the speaker’s mediations on his identity through the extended metap...
AM
Answered by Amelie M. • English tutor
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Find a local minimum of the function f(x) = x^3 - 2x.

To find a local minimum (i.e. a point where the function changes from a negative slope into a positive slope), we first need to find all points where the slope of the function is zero. The first derivative o...
KH
Answered by Karoline H. • Maths tutor
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What's added to Ethanoyl Chloride to make Methyl Ethanoate? Draw out the mechanism for this reaction. Why is this preferred to esterification?

Methanol under normal conditions.Refer to whiteboard.Irreversible, easier conditions to meet, faster.
GP
Answered by Gabriel P. • Chemistry tutor
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