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.

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

leehuan

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Trebla

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