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Given y = ln((2x+3)/(7x^3 +1)). Find dy/dx

 y = ln(2x+3 / 7x^3 +1)

d/dx(2x+3 / 7x^3 + 1) by quotient rule which is(v.du/dx - u.dv/dx) / v^2  where u=2x+3 and v=7x^3 +1   gives (-27x^3 -63x^2 +2) / (7x^3 +1)^2

so d/dx(ln(2x+3 / 7x^3 +...

SB
Answered by Samuel B. Maths tutor
3986 Views

What is meant by the term amphoteric? and give an example of a reaction using NaOH that could be used to distinguish between a solution of amphoteric AlCl3 and non-amphoteric MgCl2.

The phrase amphoteric describes a compound that reacts with both acids and bases. 

NaOH can react with both AlCl3 and MgClto give a white precipitate but the addition of exc...

LL
Answered by Lois L. Chemistry tutor
14688 Views

Is First Past the Post the best electoral system for general elections to the UK Parliament?

Electoral systems can produce significantly different results to each other, and the chosen system prioritizes certain aspects of governance over others. Majoritarian systems (such as FPP or AV) often pro...

TP
Answered by Tom P. Politics tutor
5093 Views

Given the function y=(x+1)(x-2)^2 find i) dy/dx ii) Stationary points and determine their nature

Here we have a function made from the product of two functions, so we canuse the product differenciation rule.

y=uv  =>  dy/dx=udv/dx + vdu/dx

Therefore dy/dy=(x-2)^2 + 2(x-2)(x+1)

RB
Answered by Russell B. Maths tutor
5279 Views

Describe the structure of human DNA (4 marks)

- 2 strands:  Intertwine to form a double-helix structure                                                    Phosphodiester bonds between between phosphate group and pentose sugar of nucl...

CC
Answered by Christos C. Biology tutor
6466 Views

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