The Student Room Group

Core 3 Differentiation

Question: Show that the value of the gradient of the curve with equation y = sin2x / x at the point where x = pi/2 is -4/pi.

I have differentiated y = sin2x / x but when I substitute pi/2 in it comes out at a decimal. How do I achieve an answer of -4/pi?

Thanks.
Reply 1
use radians see if thats it?
Reply 2
Original post by Liastro_3109
Question: Show that the value of the gradient of the curve with equation y = sin2x / x at the point where x = pi/2 is -4/pi.

I have differentiated y = sin2x / x but when I substitute pi/2 in it comes out at a decimal. How do I achieve an answer of -4/pi?

Thanks.


Differentiate the function with quotient rule, and at sin2x use the chain rule,
then substitute
Reply 3
BaRI8ceCUAEvhTJ.jpg

There ya go.
Reply 4
Original post by fatart123
BaRI8ceCUAEvhTJ.jpg

There ya go.


Just a heads up, you're not supposed to tell them the answer directly. Instead, you're supposed to help them get the answer. Please see the rules on the sticky: http://www.thestudentroom.co.uk/showthread.php?t=403989
Reply 5
Original post by Wr0nsk1
Just a heads up, you're not supposed to tell them the answer directly. Instead, you're supposed to help them get the answer. Please see the rules on the sticky: http://www.thestudentroom.co.uk/showthread.php?t=403989


Oh, I see. This is why I have no plans to go into teaching.
Reply 6
Original post by fatart123
Oh, I see. This is why I have no plans to go into teaching.


Haha lol.
Reply 7
Original post by Liastro_3109
Question: Show that the value of the gradient of the curve with equation y = sin2x / x at the point where x = pi/2 is -4/pi.

I have differentiated y = sin2x / x but when I substitute pi/2 in it comes out at a decimal. How do I achieve an answer of -4/pi?

Thanks.


How can you possibly get a decimal? The answer involves sin(pi), cos(pi) and something divided by pi, and you should know the standard trig values :smile:

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