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Find the derivative of f(x)= ln(|sin(x)|). Given that f(x) has a value for all x, state why the modulus is required.

The derivative can be found by using the chain rule. i.e. let g(x) = |sin(x)|, so f(x)=ln(g(x)), hence df/dx = df/dg * dg/dx

df/dg = 1/g, dg/dx = |cos(x)| so df/dx = |cos(x)|/|sin(x)|

For th...

LK
Answered by Luke K. Maths tutor
10811 Views

How can texts be interpreted differently at different historical times?

In the same way the context in which a text is written influences the author's final product, the historical period in which that text is interpreted greatly shifts our perception of its themes and messag...

JH
5290 Views

Past perfect in Spanish - Pretérito perfecto o pasado perfecto.

El préterito perfecto es el equivalente del past perfect, que utiliza el verbo auxiliar haber + el participio del verbo principal como en inglés have + past participle. Por ejemplo, yo he comido,...

SD
Answered by Sofia D. Spanish tutor
5586 Views

How do I use quotes within my answer?

The main points on how and when to use quotes are:

  1. Only include relevant quotes that support the overall argument. Do not just include random quotes to try and impress the examiner with y...

RL
Answered by Rhiannon L. English tutor
2661 Views

What is a negative externality and how can you address them?

An externality is a benefit or a cost borne by a third party when producing or consuming a good. Hence there can be negative and positive externalities of production and consumption. E.g. Cigarettes have ...

SD
Answered by Sofia D. Economics tutor
10860 Views

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