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Differentiate with respect to x: y = ln(x^2+4*x+2).

Let u = x 2 +4x+2 so y = ln(u). Then dy/du = 1/u and du/dx = 2x+4. Using the chain rule we have: dy/dx = (dy/du)*(du/dx) = (1/u)*(2x+4) = (2x+4)/(x 2 +4x+2).
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Answered by Okim L. • Maths tutor
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Describe the four stages of compilation.

The first stage is lexical analysis which takes the source code as an input and: • Removes whitespace and comments; • Converts remaining code into tokens, by breaking down the code by recognising reserved wo...
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The first 4 terms of a different sequence are: 9, 13, 17, 21. Find an expression for the nth term of the sequence

In order to find the nth term of a sequence you need to keep the structure of the nth term sequence in mind (dn+x). The first thing we want to do is find 'd'. In this case 'd' stands for difference, which is...
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Answered by India B. • Maths tutor
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Prove that sec^2(θ) + cosec^2(θ) = sec^2(θ) * cosec^2(θ)

These problems can be tricky as they use unfamiliar trigonometric functions such as secant and cosecant. It is much easier to approach these problems by replacing these trigonometric functions with more fami...
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Answered by Hugh R. • Maths tutor
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Two immobile point charges Q1 and Q2 of values +q and +3q respectively are some distance apart. Q3, with value +2q is placed between them and does not move. What is the ratio of the distance between Q3 and Q2 to the distance between Q1 and Q3?

As Q 3 remains stationary, it is clear that it is not accelerating. Thus we can deduce from Newton's second law that there is no resultant force acting upon the charge. However there are still electrostatic ...
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Answered by Hugh R. • Physics tutor
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