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Differentiate 2cos(x)sin(x) with respect to x

To solve this differential, firstly note that 2cos(x)sin(x) = sin(2x) (by the Double-Angle Sine Identity), this makes computing the differential a lot easier. To differentiate sin(2x) we need to use the chai...
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Answered by Ryan H. • Maths tutor
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How do I know when to choose which statistical test?

MOID - Mann Whitney U test; ordinal data, independent groups, test of DifferenceSCOR - Spearmans test; test of Correlation, ordinal data, repeated measures or matched pairs designCIND - Chi squared test; ind...
Answered by • Psychology tutor
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Consider the function f(x) = 2/3 x^3 + bx^2 + 2x + 3, where b is some undetermined coefficient:

a) Find f ' (x) and f ''(x). f' = 2x 2 + 2bx + 2f'' = 4x + 2bb) You are given that f(x) has a stationary point at x = 2. Use this information to find b.2x 2 + 2bx + 2, x=2Stationary point is when f' = 02(2) ...
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Answered by Charlie P. • Maths tutor
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Why is Phenol more reactive than Benzene in electrophilic substitution reactions?

Phenol has the -OH group and the oxygen has a lone pair of electrons which are donated into the Benzene ring and activate the ring which make it more susceptible to attack by electrophiles. This means Phenol...
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Answered by Juliet O. • Chemistry tutor
12211 Views

Integrate 4/x^2

First of all, I would ask the tutee if they were familiar with the law of integration. i.e. that you increase the power of the variable (x) by 1, then divide by the new power, and if not then I would clarify...
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Answered by Ahmed E. • Maths tutor
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