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.
A tell-tale sign of lupus is a butterfly-shaped rash across the cheeks and bridge of the nose. Other common skin problems include sensitivity to the sun with flaky, red spots or a scaly, purple rash on various parts of the body, including the face, neck, and arms. Some people also develop mouth sores.ost babies born to women with lupus are entirely healthy. But in rare cases, the newborn of a mom with lupus may have neonatal lupus. This condition can cause a skin rash, anemia, or liver problems. The symptoms usually go away after a few months and don't cause permanent damage.