(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the maximum and minimum value of:

(sin a)^4 - (sin a)^2

I am new to the world of calculus. I have just learned to evaluate the derivatives of functions. (*and nothing else- I am a high school student) For this function the derivative is

-sin 2a . cos 2a

Please tell me if I am right.

While teaching my teacher told me that we can obtain the maximum and minimum values of a function with the help of its derivative. Is it true?

If yes, please spare some time to tell me how is it possible. I know that the maximum and minimum values can be calculated by coverting this into a perfect square. But I wish to learn it through calculus, if possible.

Thanks!

regards,

Ritwik

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# Homework Help: Maximum and minimum value

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