Functions

[pulsar crag]

Just help me understand.

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[heavy briar]

apply definition of local maximum

or what is it exactly you dont understand about this?

[pulsar crag]

I'm new to calculus.

Since f’ => 0 on some interval (c — €, c) to the left of c, we know that f is increasing on this interval. Specifically, we know that f(x) < f(c) for x € (c —,c). Similarly, since f’ < 0 on some interval (c,c + €) to the right of c, we know that f is decreasing to the right of c. Specifically, f(c) > f(x) for x € (c,c + €). But this means that f(c) > f(x) for all x € (c— e,c + €). This is precisely the definition of a local maximum.

Is this solution right?

[heavy briar]

so start with easier problems and work your way up to this one

[heavy briar]

see, you understand

[pulsar crag]

Yay!

Thanks.

[dusky crown]

@pulsar crag

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[pulsar crag]

+close

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