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How do I differentiate something in the form f(x)/g(x)?

To differentiate the quotient of two functions f(x)/g(x) you can use the quotient rule, the formula of which is: (f'(x)*g(x)-f(x)*g'(x))/g 2 (x) it is important to remember which part you have to differentia...
RP
Answered by Riccardo P. • Maths tutor
9779 Views

Do the following vector equations intersect? l = (1 + μ)i + (2 - μ)j + (2μ - 5)k, and m = 2λi + 3j + (2 + λ)k.

Firstly we must appreciate that if there is an intersection between l and m, this means that there exists a point that occurs on both lines. Therefore if there is an intersection, it is when l = m .So we mus...
HD
Answered by Harry D. • Maths tutor
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Differentiate y= (2x+1)^3. [The chain rule]

For maths questions I feel that getting your head around the concepts are difficult but once achieved allow you to comfortably answer a wide range of questions. Therefore for maths tuition I think it is impo...
JJ
Answered by James J. • Maths tutor
19572 Views

What is the probability that a leap year has 53 Sundays?

This is pretty straight forward. There are 366 days in a leap year, i.e, 1 more than a normal year. Now, 52 weeks make up 344 days (52 x 7 = 344) That means that we already have 52 sundays for sure. Then, we...
YR
Answered by Yatharth R. • Maths tutor
74868 Views

How do you solve 3sin2AtanA=2 for 0<A<180?

The first step in solving any trigonometric equation is to convert everything into sine and cosine functions. So in this case we need to start by converting the tanA. We can use the identity: tanA=sinA/cosA ...
SW
Answered by Sarah W. • Maths tutor
6248 Views