Calculate both partial derivative and of the following function.

Question

Calculate both partial derivative <img src="data:image/png;base64, iVBORw0KGgoAAAANSUhEUgAAABYAAAAsCAIAAADuN9+nAAAABGdBTUEAALGPC/xhBQAAAAlwSFlzAAAOwwAADsMBx2+oZAAAAptJREFUSEtj+E8xGDUCAehvxN/vn7/8hLJhAMWI7w8Or5i7cPPFN3+hAsjg7/PtLSVdayZH6XpPvQ0VAwMkI36eK

Answer 1

Differentiating with respect to x means we need the product rule

<img src="data:image/png;base64, iVBORw0KGgoAAAANSUhEUgAAAQsAAABaCAIAAAAgkuTjAAAABGdBTUEAALGPC/xhBQAAAAlwSFlzAAAOwwAADsMBx2+oZAAADS1JREFUeF7tnXlQFFcex/PHEhOyETwTxVjGZD0SLJMQzR5eVIw