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Find the derivative of A^4 + 2A^2 - 3A + 4

Ask if they have found derivations before.If not:When we differentiate a polynomial like this by using the fact that:The derivative of A^x is xA^(x-1).So, we multiply the unknown variable, A, by the power an...
JM
Answered by Jake M. • Maths tutor
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(given a graph with a straight line and 2 labelled points) Find the equation of the line.

Every straight line can be written in the form y=mx+c.(If they seem completely unfamiliar with concept):M is known as the gradient of the line, which says how steep the line is. The bigger the number, the st...
JM
Answered by Jake M. • Maths tutor
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There is a right angled triangle with sides of 5cm, 12cm and 13cm. What is the size of the smallest angle?

By the sine rule, sin -1 (5/13)=22.6 degrees.Equally, by the cos -1 (12/13)=tan 1 (5/12)=22.6 degrees.
AO
Answered by Akane O. • Maths tutor
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Using a Suitable substitution or otherwise, find the differential of y= arctan(sinxcosx), in terms of y and x.

First of all, replace sinxcosx with 1/2 sin2x. Then you should let U=1/2 Sin2x and replace that in the formula. If y=arctan(U), then U=tany. work out dU/dy which is Sec 2 y. Using the trigonometric identity ...
JP
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Describe the process of chiasmata formation.

At prophase I of meiosis, after the homologous pair of chromosomes pair up in the process called synapsis, the non-sister chromatids overlap, forming an X-shape. They then exchange their alleles at the point...
AO
Answered by Akane O. • Biology tutor
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