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Expert: Vijilant - 11/4/2009


Question
my problems (set 2):
For Exercises 9 and 10 find the derivative of each expression and simplify.
9. (1/a)((1/b)(x²)-(2/a)(x)-(d/x))
10. (-8x^-8)+(12√x)

Answer
Hello Asad
You don't say what to differentiate with respect to, but I shall assume it is x.

9.  (1/a)(2x/b - 2/a  + d/x^2).  It is arguable what the simplest expression is here.
It may be 2x/(ab) - 2/a^2 + d/(ax^2), or an expression with common denominator.
The one I give is best for eg. differentiating again.

10. 64x^(-9) + 6x^(-1/2)  = 64/x^9 + 6/√x

Best wishes

vijilant

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Vijilant

Expertise

Most questions on number theory, divisibility, primes, Euclidean algorithm, Fermat`s theorem, Wilson`s theorem, factorisation, euclidean algorithm, diophantine equations, Chinese remainder theorem, group theory, congruences, continued fractions.

Experience

Teacher of math for 50 years

Organizations
ATL

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Journal of mathematics and its applications

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BSc Hons Liverpool

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State Scholarship 1955

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I taught John Birt, former Director of the BBC in 1961. His homework book was the most perfect I have ever marked. And also the most neat. I could tell he was destined for great things. One of my classmates was the poet Roger McGough, and I have a mention in his autobiography.

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