3 Tips for Effortless The Mean Value Theorem
From the mean value theorem, we havef′(c)=f(b)−f(a)b−a2Kc+L=(Kb2+Lb+M)−(Ka2+La+M)b−a=K(b−a)(b+a)+L(b−a)b−a=K(b+a)+L2c=b+a⇒c=b+a2. ) First assume f {\displaystyle f} is differentiable at a {\displaystyle a} too. In this context, you can understand the mean value theorem and its special case which is known as Rolle’s Theorem. As an application of the above, we prove that f {\displaystyle f} is constant if […]