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Given that y = 3x(^2) + 6x(^1/3) + (2x(^3) - 7)/(3(sqrt(x))) when x > 0 find dy/dx

Firstly, the (2x(^3) - 7)/(3(sqrt(x))) can be split into (2x(^3))/(3(sqrt(x)) and -7/(3(sqrt(x)). These can then be simplified to (2/3)x(^5/2) and -(7/3)x(^-1/2) respectively. This then gives the equation y ...
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Answered by Samuel H. • Maths tutor
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What’s the difference between a prokaryotic and a eukaryotic cell?

This is a topic which is common across all A-Level specifications, the questions surrounding this topic may vary from labelling diagrams, matching features in a table, or longer written styles of question (l...
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Answered by Zachary M. • Biology tutor
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How do I define the differences between a perfect, plagal, imperfect and interrupted cadence?

A cadence is a chordal progression that ends a phrase or piece of music. Perfect and plagal cadences provide a harmonically stable end to the music, whereas the imperfect and interrupted cadences make the mu...
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Answered by Hannah D. • Music tutor
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Describe the properties of primary protein structure.

The main component of primary protein structure is that it is composed of amino acids. The amino acids are connected via covalent chemical bonds more specifically called the peptide bond. Amino acids joined ...
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Answered by Alysha V. • Biology tutor
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Molecules of hydrogen chloride, HCl, and molecules of fluorine, F2, contain the same number of electrons. Hydrogen chloride boils at –85 °C and fluorine boils at –188 °C. Explain why there is a difference in the boiling points of HCl and F2.

F2 has temporary dipole-dipole interactions known as van der Waals’ forces. Whilst HCl has permanent dipole-dipole interactions. The intermolecular forces in HCl are stronger than that in F2 (permanent dipol...
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Answered by Freddie G. • Chemistry tutor
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