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What is the differential of y =sin(2x)?

For this question we have to use the chain rule. The chain rule is dy/dx (the differential you are looking for) = du/dx (the differential of u with respect to x) * dy/du(the differential of y with respect to...
CU
Answered by Cem U. • Maths tutor
8190 Views

How do I rearrange this equation for x? y=(x+2)/(3x-1) +2

First of all we must consider the fraction. To eliminate this we multiply both sides through by 3x-1. We then end up with y(3x-1)=(x+2)+2(3x-1). The next step is to expand out the brackets and collate terms,...
CM
Answered by Charlie M. • Maths tutor
4916 Views

Show (4+5/7) - (2+1/3) as a single mixed fraction.

Mixed number -> top heavy fraction: 4 + 5/7 = ((4 7)+5)/7 = (28+5)/7 = 33/7 2+ 1/3 = ((2 3)+1)/3 = (6+1)/3 = 7/3 Common denominator by multiplying by each others: 33/7 = (33 3)/(7 3) = 99/21 7/3 = (7 7)/(...
ER
Answered by Ethan R. • Maths tutor
4123 Views

Given that y=ln([2x-1/2x=1]^1/2) , show that dy/dx= (1/2x-1)-(1/2x+1)

y=ln([2x-1/2x=1]^1/2)- can be written as y= [0.5ln(2x-1)]-[0.5ln(2x+1)] due to laws of logs. Take first term -- (0.5ln(2x-1)) and substitute 2x-1 for u. so u=2x-1 and y=0.5lnu Now dy/du=1/2u and du/dx=2. to ...
SF
Answered by Sam F. • Maths tutor
11425 Views

How do I work out probability when a random choice is repeated?

Before you try to work out the probability, establish the following answers from the question and jot them down. How many items are there in total? After something is chosen, is it put back before the next c...
NC
Answered by Naomi C. • Maths tutor
4162 Views