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Differentiate y=x^2+4x+12

y=x^2+4x+12dy/dx=2x+4
RH
Answered by Robert H. • Maths tutor
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Calculate (7-i*sqrt(6))*(13+i*sqrt(6))

We expand the parentheses to get to the equation: 7 13-13 i sqrt(6)+7 i sqrt(6)-i i sqrt(36) which after some further calculations equals to: 91-6 i sqrt(6)+sqrt(36) [We got +sqrt of 36 because i i*=sqrt(-1)...
Answered by • Maths tutor
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Why is the derivative of ln(x) equal to 1/x.

This fact can be deduced several ways, and I would encourage tutees to find other methods, (such as using implicit differentiation, or the chain rule.) However one of the simplest explanations is given below...
CV
Answered by Christopher V. • Maths tutor
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With the help of a diagram, explain why a trade-off between price stability and low unemployment might occur. (9 marks)

The objective of price stability is to maintain a sustainable level of inflation, with the target being 2% for the UK government. A low level of unemployment can be defined as a low number of economic agents...
Answered by • Economics tutor
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The curve y = 2x^3 -ax^2 +8x+2 passes through the point B where x = 4. Given that B is a stationary point of the curve, find the value of the constant a.

y=2x 3 - ax 2 + 8x +2. If we are told that B is the stationary point of the curve, then it is at that point where the gradient of the curve is equal to 0. In order to find the gradient of the curve at this p...
FM
Answered by Frazer M. • Maths tutor
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