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secondary 4 | A Maths
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Ivey
Ivey

secondary 4 chevron_right A Maths chevron_right Singapore

Question: calculate the gradient of the tangent to each curve at the given point.

How to do this question? I keep getting stuck at simplifying the differentiated eqn part :(

Date Posted: 2 years ago
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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
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Something like this is good. There is no need to actually simplify the differentiated result, since you are going to substitute the value of x inside the expression anyway.

The question did not ask to find an expression for dy/dx in the prior parts, so there is no need to worry about not simplifying. Even if a question asks for dy/dx, I would rather not simplify an expression if I am not actually very confident of simplifying it.

Did you use quotient rule here? It continues to work, but it’s not going to be a piece of cake to simplify the result. But remember - you are going to substitute x = 4 into the expression regardless.
Ivey
Ivey
2 years ago
Thank you so much!! It helped me a lot :D I forgot to reply you I’m sorry :(