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.
Types of Lupus. There are several different types of lupus: Systemic lupus erythematosus, or SLE, is the most common form of lupus. Discoid lupus erythematosus causes a skin rash that doesn't go away. Subacute cutaneous lupus erythematosus causes skin sores on areas of the body exposed to the sun. Neonatal lupus affects newborns.