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Find dy/dx when y = 5x^6 + 4x*sin(x^2)

Looking at the first element of the equation 5x 6 , we can simply multiply 6 by 5 to give 30 and subtract 1 from the power of x. So d/dx[5x 6 ] = 30x 5 . The next element of the equation is 4x sin(x 2 ), whe...
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Answered by Mark J. • Maths tutor
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Simplify ln(e^2) - 4ln(1/e)

Using log rules, we can simplify the equation as follows: Firstly log(x a ) = a log(x) implies that ln(e 2 ) = 2 ln(e). Next log a (a) = 1 implies 2 ln(e) = 2 1 = 2 [Since the natural logarithm ln is equival...
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Answered by Mark J. • Maths tutor
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Explain how a resting potential is maintained in a neurone (4 marks)

Membrane less permeable to sodium ions Sodium ions actively transported out... ...(by) sodium ion carriers inside of the membrane is negative compared to the outside / 3Na+ out and 2K+ in Must talk about Sod...
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Answered by Maya L. • Biology tutor
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What is the difference between direct and indirect object pronouns? (Le, la, les, lui, leur)

Pronouns are words that we put before a verb to replace a noun or object. In French there are direct and indirect object pronouns and often it seems difficult to know how to use them. The direct object prono...
JC
Answered by Julia C. • French tutor
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Briefly describe the process of mitosis.

Prophase: The chromosomes condense and the nuclear envelope breaks down. Centrioles move to opposites ends of the cell, forming the mitotic spindle. Metaphase: Chromosomes line up at the equator of the cell ...
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Answered by Sasha P. • Biology tutor
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