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Given that y = (( 4x + 1 )^3)sin(2x), find dy/dx.

This is an example of the chain rule.

The chain rule is the following: if y = uv, then dy/dx = udv/dx + vdu/dx

So in this case, u = ( 4x + 1)^3, v = sin(2x)

du/dx = (3)(4)( 4x + 1 )^2...

DS
Answered by Danielle S. Maths tutor
5274 Views

How do I decide whether the defense of intoxication can be used for any particular offence?

The first thing that must be established when deciding whether the defence of intoxication is available to an offence is whether the offence is one of basic intent or one of specific intent. Basic intent ...

TM
Answered by Tasha M. Law tutor
2450 Views

What is the difference between a type 1 and a type 2 error in hypothesis testing?

To understand type 1 and 2 errors you have to first understand what p values are. A p value is the probability of finding a result. In psychology, the significance level used is p=0.05 such that if a hypo...

RG
Answered by Rachel G. Psychology tutor
10496 Views

When should the subjunctive be used?

The subjunctive is a mood in Spanish which has its own grammatical endings and is generally used to express something that might be possible or that there is doubt about. The subjunctive can be recognised...

WC
Answered by William C. Spanish tutor
2373 Views

Find ∫ x^2(ln(4x))dx

 ∫xln(4x)dx

Firstly , identify this question as integration by parts. Therefore set one half as value 'u' and one as value 'dv'.

Here we will set u = ln(4x).

Therefore: d...

SF
Answered by Sally F. Maths tutor
11583 Views

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