Q. Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be:
(i). f(x) = x2
(ii). g(x) = x3 − 3x
(iii). h(x) = sinx + cosx, 0 <![](https://search-static.byjusweb.com/question-images/img/study_content/curr/1/12/1/235/7283/Grade12_CBSE_NCERTSolu_Chapter206_D_html_38622fd4.gif)
(iv). f(x) = sinx − cos x, 0 < x < 2π
(v). f(x) = x3 − 6x2 + 9x + 15
(vi). ![](https://search-static.byjusweb.com/question-images/img/study_content/curr/1/12/1/235/7283/Grade12_CBSE_NCERTSolu_Chapter206_D_html_m631a7b29.gif)
(vii). ![](https://search-static.byjusweb.com/question-images/img/study_content/curr/1/12/1/235/7283/Grade12_CBSE_NCERTSolu_Chapter206_D_html_45af62f5.gif)
(viii). ![](https://search-static.byjusweb.com/question-images/img/study_content/curr/1/12/1/235/7283/Grade12_CBSE_NCERTSolu_Chapter206_D_html_7ce64283.gif)