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How do I differentiate f(x) = cos(x)/x?

To answer this question you need to use the quotient rule. dy/dx = (vu' - uv')/v 2 . U = cos(x) which differentiates to -sin(x) so u'= -sin(x) v = x so v' = 1 Therefore, dy/dx = ( -xsin(x) - cos(x) ) / x 2
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Answered by Ewan H. • Maths tutor
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Express X/((X+1)(X+2)) in partial fractions. OCR C4 style question

This question is asking us to split up the fraction into two separate fractions.To begin we use one of the standard forms for solving partial fractions, this is (A/(X+1))+(B/(X+2)).To solve set the first equ...
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Answered by David S. • Maths tutor
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Differentiate y=x*ln(x^3-5)

We can immediately see that more than differentiation rule will be needed here. The expression in question is the product of two smaller expressions, so the product rule may be useful. But to apply the produ...
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Answered by Nat N. • Maths tutor
7230 Views

Find the solutions to x^3+4x^2+x-5=1

These cubic equations are usually fairly simple once the method is known, firstly make the right hand side (RHS) equal to zero by subtracting 1 from both sides: x^3+4x^2+x-6=0 Now the next step is a quick bi...
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Answered by Luke H. • Maths tutor
5207 Views

Solve for 0=<x<360 : 2((tanx)^2) + ((secx)^2) = 1

First step I would take would make it look less intimidating by converting all components into sin and cos i.e 2(((sinx)/(cosx))^2) + 1/((cosx)^2) = 1 Notice that there is a common denominator of cosx^2 so I...
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Answered by Bryan P. • Maths tutor
5897 Views