Calculus UNIT206 When is f(x) Differentiable?

2813 days ago by MATH4R2013

#81AB5 f1(x)=2*x+1 f2(x)=x^2/2+3 f=piecewise([[(-2,2),f1],[(2,5),f2]]) plot(f) 
       
#76AB7a var('h') f(x)=x^2+x show(lim((f(x+h)-f(x))/h,h=0)) show(lim((f(x+h)-f(x-h))/h,h=0)) 
       

#76AB7b var('h') f(x)=cos(x) show(lim((f(x+h)-f(x))/h,h=0)) show(lim((f(x+h)-f(x-h))/h,h=0))