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y = x*(x-2)^-1/2. Prove dy\dx = (x-4)/2*(x-2)^3/2

Firstly, when approaching a differentiation question you need to work out what method you need to use to solve it. As you can see there are two terms multiplied by one another (the 'x' term and the '(x-2) -1...
GR
Answered by Graham R. • Maths tutor
7475 Views

Using logarithms solve 8^(2x+1) = 24 (to 3dp)

Using the laws of logs you can see that if you log both sides of the equation you get: (2x+1)*log(8) = log(24) Dividing both sides of the equation by log(8) you get: 2x+1 = log(24)/log(8) Then it is a simple...
GR
Answered by Graham R. • Maths tutor
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Statistics: Dave throws a ball at a bucket. The probability the ball goes into the bucket is 0.4. Dave throws the ball four times. What is the probability that he gets it in twice?

When Dave throws the ball, it can either go into the bucket, or miss. The probability of the ball going into the bucket is 0.4 and each throw is independent of eachother so this probability is the same for e...
JW
Answered by Jack W. • Maths tutor
8884 Views

What methods are there for integration?

There are five methods that can help you integrate a function. All these methods do is simplify the expression you're trying to integrate until you are left with something that you can recall what it integra...
CA
Answered by Celine A. • Maths tutor
6266 Views

How would I differentiate cos(2x)/x^1/2

So for this question you can use either the product rule or the quotient rule and I'll run through them both.First the quotient rule:The quotient rule says that if you have h(x)=f(x)/g(x)Then h'(x) = (f'(x)g...
GS
Answered by George S. • Maths tutor
9991 Views