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.