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A curve has the equation: x^2(4+y) - 2y^2 = 0 Find an expression for dy/dx in terms of x and y.

First of all expand the brackets in the equation. Then you can differentiate each term with respect to x. As one of the terms will be a product of x and y the product rule must be used to find the differenti...
CM
Answered by Carlotta M. • Maths tutor
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Prove that, if 1 + 3x^2 + x^3 < (1+x)^3, then x>0

(1+x)^3 = x^3 + 3x^2 + 3x + 1 (Can be calculated straight away by binomial method or by multiplying brackets individually) if (1+x)^3 &gt; 1 + 3x^2 + x^3then: x^3 + 3x^2 + 3x + 1 &gt; 1 + 3x^2 + x^3 3x &gt; ...
VT
Answered by Vigneswaran T. • Maths tutor
16583 Views

Differentiate y = xe^(2x).

We want to find dy/dx. We find this using the product rule by setting the functions f(x) = x and g(x) = e 2x . With these functions, we can write the equation as y = f(x)g(x), so by applying the product rule...
ML
Answered by Matthew L. • Maths tutor
34546 Views

what is the integral of ln(x)

answer may not be obvious at first, but by using intergration by parts, treating part 1 as lnx and part 2 as 1, you will get xlnx-1
AF
Answered by Anthony F. • Maths tutor
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Messenger RNA (mRNA) is used during translation to form polypeptides. Describe how mRNA is produced in the nucleus of a cell.

mRNA is messenger RNA which carries information from the genome to be translated into proteins. The DNA is transcribed into mRNA in the nucleus. DNA helicase breaks the hydrogen bonds of DNA into sense and a...
RC
Answered by Ryley C. • Biology tutor
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