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October 23rd, 2014, 06:19 AM   #1
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Gradient of a point in a curve

Could someone please explain to me the theory of differentiation?
My school doesn't teach additional maths/pure maths, and what I know is that calculus is a part of it. If not, then differentiation must be, because I have not been taught it. Still, differentiation popped up in plenty of problems in my maths and physics books. It would be very helpful if someone explained differentiation. Any other way to find the gradient of a point in a curve would be helpful.
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October 23rd, 2014, 08:48 AM   #2
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Try watching this video and follow the maths it goes through.

Differentiation from first principles : ExamSolutions
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October 24th, 2014, 10:24 AM   #3
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In addition, I suggest to avoid using tables from the first times and differentiate from the first principles.

Here some solved problems by proof of first principles:
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