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If f(x) = 1/(6x^2), where x not equal to 0, find the rate of change when x=4.

f(x) can be rearranged to be: f(x) = 1/6 x -2 This is then differentiated to be: f'(x) = -1/3 x -3 as the expression is multiplied by the original power (-2) and then the power is reduced by 1 (to -3) f'(x) ...
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Answered by Thomas R. • Maths tutor
1503 Views

Simplify : 4(x+5) / x^2+2x-15

Firstly, remember to factorise! x^2+2x-15 = (x+5)(x-3) ∴ the numerator and denominator now both share a common term "(x+5)", so they can cancel one another out, leaving the answer as : 4/(x-3)
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Answered by Sohum P. • Maths tutor
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How do I know what article this noun takes?

Most of the articles in German you have to learn by heart. However, there are a few word endings that can help us determine the article, e.g. -ung <---- when a noun ends with "ung", then you kno...
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Answered by Maria O. • German tutor
1260 Views

Is there a set format that Oxbridge expects you to use for Personal Statements?

There is no set format that Oxbridge expects you to use for your personal statement. In fact, there is no one right way to construct a personal statement. Oxbridge, perhaps more so than other universities, i...
MB
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Work out: 0.7 + 3/5

Show 3/5 as a decimal: 0.6 0.7 + 0.6 = 1.3 OR Show 0.7 as a fraction: 7/10 Find a common denominator: 3/5 = 6/107/10 + 6/10 = 13/10 or 1 and 3/10
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Answered by Edward B. • Maths tutor
4850 Views