Joseph H. A Level Maths tutor, GCSE Physics tutor, A Level Further Ma...

Joseph H.

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Studying: Mathematics (Bachelors) - Bristol University

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About me

Why me?

I have always wanted to be a maths teacher and my experiences as a subject tutor, peer mentor and assistant teacher have only made me want to be more involved in education and develop my maths interests.

Maths is very conceptual and languages are all about persistence - having 3 siblings taught me a great deal about both.

What about the sessions?

Whether you're looking to build an understanding from the ground up, feel like a new approach (algebra vs diagrams) or just want to work through some past papers, you won't find many more patient and accessible people than myself! 

Whether you want to meet me, or just say hi, I'll be around.

See you soon!

Why me?

I have always wanted to be a maths teacher and my experiences as a subject tutor, peer mentor and assistant teacher have only made me want to be more involved in education and develop my maths interests.

Maths is very conceptual and languages are all about persistence - having 3 siblings taught me a great deal about both.

What about the sessions?

Whether you're looking to build an understanding from the ground up, feel like a new approach (algebra vs diagrams) or just want to work through some past papers, you won't find many more patient and accessible people than myself! 

Whether you want to meet me, or just say hi, I'll be around.

See you soon!

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Qualifications

SubjectQualificationGrade
MathematicsA-level (A2)A*
Further MathematicsA-level (A2)A
PhysicsA-level (A2)A
FrenchA-level (A2)B

Subjects offered

SubjectQualificationPrices
Further MathematicsA Level£20 /hr
MathsA Level£20 /hr
FrenchGCSE£18 /hr
MathsGCSE£18 /hr
PhysicsGCSE£18 /hr
Maths13 Plus£18 /hr

Questions Joseph has answered

How do I differentiate tan(x) ?

To differentiate tan(x):

Note: Here, we use d/dx f(x) to mean "the derivative of f(x) with respect to x". 

1) rewrite tan(x) as sin(x)/cos(x)

2) Apply the quotient rule (or, alternatively, you could use the product rule using functions sin(x) and 1/cos(x)):

Using the quotient rule:

d/dx tan(x) = (cos(x)*cos(x) - sin(x)*(-sin(x))) / cos2(x)

d/dx tan(x) = (cos2(x) + sin2(x)) / cos2(x)

3) Recall/Note the following identity: cos2(x) + sin2(x) = 1

So, d/dx tan(x) = 1 / cos2(x)

4) Use the definition of sec(x):

So, d/dx tan(x) = sec2(x), as required 

 

To differentiate tan(x):

Note: Here, we use d/dx f(x) to mean "the derivative of f(x) with respect to x". 

1) rewrite tan(x) as sin(x)/cos(x)

2) Apply the quotient rule (or, alternatively, you could use the product rule using functions sin(x) and 1/cos(x)):

Using the quotient rule:

d/dx tan(x) = (cos(x)*cos(x) - sin(x)*(-sin(x))) / cos2(x)

d/dx tan(x) = (cos2(x) + sin2(x)) / cos2(x)

3) Recall/Note the following identity: cos2(x) + sin2(x) = 1

So, d/dx tan(x) = 1 / cos2(x)

4) Use the definition of sec(x):

So, d/dx tan(x) = sec2(x), as required 

 

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3 years ago

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