Product Rule. If the two functions f(x) and g(x) are differentiable (i.e. the derivative exist) then the product is differentiable and, The proof of the Product Rule is shown in the Proof of Various Derivative Formulas section of the Extras chapter.
Inflammation is the most common reason for muscle pain and aches. Any time that major inflammation exists (strep throat, hepatitis, cancer, lupus, acute heart attack, etc.), signs and symptoms often include fevers, sweats, chills, fatigue, weight loss, and various muscle aches, pains and weakness.
Here are the ten primary symptoms of lupusâ¦. Skin rashes are very common in individuals suffering from autoimmune diseases. In the case of lupus, a type of rash known as a malar rash or a butterfly rash typically forms on the ears, arms, chest, and face. These rashes are particularly common in the cheeks and across the nose, and usually take the shape of a red, blotchy set of butterfly wings.