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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
3532 Views

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

32x + 7

BH
Answered by Bodrul H. Maths tutor
3377 Views

How do I form an algebraic fraction into a single fraction in its simplest form?

When starting with a fraction with 2 individual components, before any addition, subtraction or simplification can take place, the first step will be making them both having the same denominator. Once you...

AS
Answered by Axel S. Maths tutor
8222 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
3500 Views

In Paradise of the Blind, explain how Hang's mother, Que, has an influence on Hang's development

Que's role in this novel is mainly the one to set an example Hang does not want to follow. She does not play the role of the traditional mother in the family, as she often fails to take care of her financ...

VT
4288 Views

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