<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Let&nbsp;\(\mathrm{f}(x) = \sin x\). Show that&nbsp;\(\mathrm{f}'(x) = \cos x\) by using differentiation from first principles.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Let&nbsp;\(\mathrm{g}(x) = \cos x\). Show that&nbsp;\(\mathrm{g}'(x) = -\sin x\) by using differentiation from first principles.</span></div></li></ol>

Let \(\mathrm{f}(x) = \sin x\). Show that \(\mathrm{f}'(x) = \cos x\) by using differentiation from first principles.

Let \(\mathrm{g}(x) = \cos x\). Show that \(\mathrm{g}'(x) = -\sin x\) by using differentiation from first principles.

Techniques of Differentiation - Derivatives of Trigonometric Functions

Techniques of Differentiation - Derivatives of Trigonometric Functions