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Student Solution Manual for Mathematical Methods for Physics and Engineering, Third Edition by M. P. Hobson, K. F. Riley

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2

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Preliminary calculus

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2.1  Obtain the following derivatives from first principles:

(a)  the first derivative of 3x + 4;

(b)  the first, second and third derivatives of x2 + x;

(c)  the first derivative of sin x.

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  (a) From the definition of the derivative as a limit, we have

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(b) These are calculated similarly, but using each calculated derivative ...

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