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Degree: Mathematics (Bachelors) - Bristol University
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.
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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!
|Further Mathematics||A Level||£20 /hr|
|Maths||A Level||£20 /hr|
|Maths||13 Plus||£18 /hr|
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