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.
The 10 Common Symptoms of Lupus. 3. Joint Inflammation. One of the most common symptoms of lupus is pain and inflammation in the jointsâparticularly in the hands, legs, feet, ankles, hips, and knees. Joint inflammation is typically one of the first signs of lupus, and a normally energetic person may suddenly suffer from extreme joint pain and weakness. Of all the symptoms of lupus, this is the one that usually prompts people to visit their doctor to get a definitive diagnosis. Joint pain and inflammation results from the body mistaking its own tissues for outside intruders. The immune system then attacks them, resulting in inflammation and pain.