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Why does the product rule for differentiating functions work?

Let k(x) = f(x)g(x) then k'(x) = limit as h --> 0 of: (h(x+h)-h(x))/h = lim (f(x+h)g(x+h) - f(x)g(x))/h

We can factorise the numerator as:
f(x+h)g(x+h) - f(x)g(x) =f(x+h)g(x+h) -g(x)...

BV
Answered by Blaine V. Maths tutor
3680 Views

Given that y = 16x^2 + 7x - 3, find dy/dx [3 marks]

32x + 7

BH
Answered by Bodrul H. Maths tutor
3572 Views

How do I use the present subjunctive tense in my essays?

The subjunctive in Spanish is not a tense but rather a 'mood', which we do not have in English, and it is triggered by certain structures or subject matters. We can use either the present subjunctive or t...

RW
Answered by Rebecca W. Spanish tutor
3700 Views

Your sister and you are in a fight, as she took something that is yours without asking. Your mother seems to be on her side. Write a short letter to a friend telling her how you feel.

Liebe Clara, 

Danke fur deinen letzten Brief. In der Schule ist alles gut, aber zu Hause hab ich ich heute etwas geaergert. Du weisst ja, wie immer, nimmt Nina sich einfach das aus meinen Kleidersc...

VT
Answered by Vanessa T. German tutor
1778 Views

How would you work out the mols of a substance?

Mols is a measure of the amount of a molecule present, chemically defined as 1/12th of an atom of carbon 12

Mols = Mass (g) / Molecular Mass (gmol^-1)

BU
Answered by Bilal U. Chemistry tutor
2681 Views

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