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# Core 3 Differentiation

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Why bother with a post grad? Are they even worth it? Have your say! 26-10-2016
1. Find the equation of the tangent to the curve y = 50 / ( 2x +1 )^2 at the point (3,2), giving your answer in the form ax + by + c = 0, where a, b and c are integers

is this correct??
y = 50 ( 2x -1 ) ^-2

dy/dx = -200( 2x - 1)^-3

so 8x + 5y -34 = 0
2. (Original post by Custardcream000)
Find the equation of the tangent to the curve y = 50 / ( 2x +1 )^2 at the point (3,2), giving your answer in the form ax + by + c = 0, where a, b and c are integers

is this correct??
y = 50 ( 2x -1 ) ^-2

dy/dx = -200( 2x - 1)^-3

so 8x + 5y -34 = 0
What check can you do to make sure your answer is right?
3. (Original post by SeanFM)
What check can you do to make sure your answer is right?
plug the coordinate in

forgot lol
4. (Original post by Custardcream000)
plug the coordinate in

forgot lol
Correct. After that I would just look at the differentiation again with fresh eyes and that you've found the correct value for dy/dx, but yes, it looks right.
5. (Original post by SeanFM)
Correct. After that I would just look at the differentiation again with fresh eyes and that you've found the correct value for dy/dx, but yes, it looks right.
thankyou

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