Thomas M.

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Degree: Mathematics (Bachelors) - Bristol University

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I am a 3rd year Mathematics student at University of Bristol, and have received a 1st in both my first and second year exams. This summer, I received the Mathematics Undergraduate Award for the highest overall mark in second year.

I am passionate about Maths and really enjoy passing on my enthusiasm and understanding for the subject. I have a friendly and engaging approach which will encourage confidence and enthusiasm for Maths.

The lesson:

I like to teach in a friendly and encouraging environment and make myself as approachable to my tutees as possible. I believe that the most effective method for tutoring Maths is to establish a firm grounding in the theory before doing example questions, and then more questions!  With Maths, it is definitely true that practice makes perfect.

I will also concentrate on past exam papers as this is the most effective preparation for the actual exam. Mastering past exam papers will really boost your grades!

What next?

Please send me a message if you have any questions or if you think I can be of any help. Remember to include your exam board and any topics you are struggling with.

Thanks for reading, and I look forward to hearing from you!

#### Subjects offered

SubjectLevelMy prices
Maths A Level £20 /hr
Maths GCSE £18 /hr

#### Qualifications

MathsA-LevelA*
Further MathsA-LevelA*
PhysicsA-LevelA*
HistoryA-LevelA
 CRB/DBS Standard No CRB/DBS Enhanced No

### Differentiate 4x^2 + 2ln3x + e^x

To differentiate x2 you bring the power of x down, then reduce the power of x by 1, so d/dx(x2) = 2x1 ln3x differentiates to (d/dx(3x))/3x = 3/3x = 1/x e^x differentiates to (d/dx(x))*e^x = 1*e^x Therefore, d/dx(4x2 + 2ln3x + ex) = 4(2x) +2(1/x) + ex = 8x + 2/x + ex

To differentiate x2 you bring the power of x down, then reduce the power of x by 1, so d/dx(x2) = 2x1

ln3x differentiates to (d/dx(3x))/3x = 3/3x = 1/x

e^x differentiates to (d/dx(x))*e^x = 1*e^x

Therefore, d/dx(4x2 + 2ln3x + ex) = 4(2x) +2(1/x) + ex = 8x + 2/x + ex

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2 years ago

752 views

### y is proportional to x^2. When y is 75, x is 5. Find a formula for y in terms of x

y is proportional to x2 so this means y = A*x2 for some constant A. When y = 75, x = 5. Put these values in the formula above to find A: 75 = A*25 75/25 = A A = 3 So y = 3x2

y is proportional to x2 so this means y = A*x2 for some constant A.

When y = 75, x = 5. Put these values in the formula above to find A:

75 = A*25

75/25 = A

A = 3

So y = 3x2

2 years ago

651 views
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