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Maths Doubt

Hi everyone.

https://dynamicpapers.com/wp-content/uploads/2015/09/9709_s10_qp_32.pdf

I'm struggling with question 4 (i) of this question. I have differentiated the equation given which y equals sinx/x. Now I'm a little stuck as to how to prove that the x-coordinate of M satisfies the equation x equals tanx. I would really appreciate some help here.

Thank you.

Oakenari
Reply 1
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Pangol
15
Original post by Oakenari
Hi everyone.

https://dynamicpapers.com/wp-content/uploads/2015/09/9709_s10_qp_32.pdf

I'm struggling with question 4 (i) of this question. I have differentiated the equation given which y equals sinx/x. Now I'm a little stuck as to how to prove that the x-coordinate of M satisfies the equation x equals tanx. I would really appreciate some help here.

Thank you.

Oakenari

That's the right approach. What is your dy/dx?
Reply 2
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Oakenari
OP
10
Original post by Pangol
That's the right approach. What is your dy/dx?

(xcosx - sinx)/x squared
Reply 3
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Pangol
15
Original post by Oakenari
(xcosx - sinx)/x squared

OK, what next? M IS A minimum point, so what do you do with your dy/dx?
Reply 4
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Oakenari
OP
10
Original post by Pangol
OK, what next? M IS A minimum point, so what do you do with your dy/dx?

dy/dx is greater than the minimum point.
Original post by Oakenari
dy/dx is greater than the minimum point.


M is a min point so the gradient there is zero.

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