First fundamental theorem of calculus - examinable? (1 Viewer)

leehuan · Apr 5, 2016

In other words, could you be directly asked on one of the following in 2U (and I guess any other relevant HSC courses)?

$\\\frac{d}{dx}\int_{c}^{x}{f(t)\,dt}=f(x)$

$$+ a chain rule application:$\\\frac{d}{dx}\int_{c}^{g(x)}{f(t)\,dt}=f'(g(x))g'(x)$

Trebla · Apr 5, 2016

leehuan said:
In other words, could you be directly asked on one of the following in 2U (and I guess any other relevant HSC courses)?

$\\\frac{d}{dx}\int_{c}^{x}{f(t)\,dt}=f(x)$

$$+ a chain rule application:$\\\frac{d}{dx}\int_{c}^{g(x)}{f(t)\,dt}=f(x)g'(x)$

No you're not expected to know that form in the HSC. If for whatever reason it comes up, there would have to be plenty of guidance based on principles within the syllabus.

First fundamental theorem of calculus - examinable? (1 Viewer)

leehuan

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Trebla

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