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secondary 4 | A Maths
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qaz
Qaz

secondary 4 chevron_right A Maths chevron_right Singapore

pls help to differentiate! thanks

Date Posted: 3 months ago
Views: 26

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Christmas MT
Christmas Mt's answer
545 answers (A Helpful Person)
1st
You differentiated the exponential function wrongly. For exponential function like e^ax, where a is a constant, the differential is a*e^ax.
Eric Nicholas K
Eric Nicholas K
3 months ago
He probably missed that the first chain is e^4x - 4. From his workings, I realise that the first chain that he attempted is the '4x - 4' (which he also wrote wrongly, since the -4 is not part of the power).
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Eric Nicholas K
Eric Nicholas K's answer
2483 answers (Tutor Details)
The first "chain" is (e^4x minus 4), so we must differentiate this chain as part of the chain rule.

The '-4' is not part of the power of e. Somehow your -4 'escalated quickly' into the power.

The second chain is '4x' while differentiating the e^4x in the first chain. We must also differentiate this second chain '4x' as part of the chain rule.

In effect, the chain rule is applied twice in a row here.