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The function f is defined for x > 0 by f (x) = x^1n x. Obtain an expression for f ′ (x).

By taking the natural log on both sides we can see that: ln(f(x)) = ln(x)^2 This is a more familiar expression that we know how to differentiate  LHS: f '(x)/f(x), RHS: 2*ln(x)/x By re...

SE
2967 Views

Given that y = 8x + 2x^-1, find the 2 values for x for which dy/dx = 0

First differentiate y with respect to x, which gives you dy/dx = 8 - 2x^-2. This needs to equal zero so equate to zero. 8-2x^-2 = 0. You can then bring the 2x^-2 to the other side giving 2x^-2=8. Dividing...

RB
Answered by Rosemary B. Maths tutor
4196 Views

What is the reflex arc and how does it protect us?

The reflex arc is a pathway that contorls a reflex action. Reflex actions are very fast (milliseconds fast) which can help in dangerous situations. For example, if I touch a hot pan, the reflex would be m...

BC
Answered by Betsy C. Biology tutor
6363 Views

What is the electron configuration of a Fluorine atom and a Chlorine atom.

So for GCSE the key to this question is in the periodic table: Note drawing the atoms can be helpful to show the shells. 

F: 2,7

Cl: 2,8,7

Firstlet's look up Flurorine (symbol F in th...

MB
Answered by Matthew B. Chemistry tutor
30096 Views

Discussion of a general topic in Spanish

Develop and express ideas in Spanish. Being able to have an everyday conversation . 

MF
Answered by Míriam F. Spanish tutor
2202 Views

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