For a function to be continuous we have to have:L=f(c). We can easily prove that if a function is differentiable then it is continuous. From here we have that if a function isn't continuous it is differentiable. Answer and ...
Formally, a function f(x) is said to be differentiable at a point x=a if the limit {eq}\lim_{x\to a} \frac{f(x)-f(a)}{x-a} {/eq} exists. If this limit exists for every point in the domain of f, then f is said to be differentiable everywhere...
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If a function is differentiable at a point, then it is continuous at that point. If f(x) = u(v(x)...
Find a function F(x) satisfying F'(x) = sin(4x). Find the function y(x) satisfying \frac{dy}{dx}=2x^{6/7} and y(-1)=-2 . Use the definition of the one-to-one function to determine if the given function is one-to-one f(x) = \frac{1}{ \sqrt{ x^2 + 1...
Find the values ofaandbso that the functionf(x)={x2+3x+a,ifx≤1bx+2,ifx>1is differentiable at eachx∈R. View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium ...
Similar Questions f(x)={(sgnx)sgnx}n, n is an odd integer. Determine whether it is odd or even View Solution If f(x) is an odd function, then write whether f′(x) is even or odd. View SolutionKnowledge Check If f(x)=x3sgn (x), then Af is differentiable at x = 0 Bf is ...
No,becausefis not continuous on the closed intervala,b. No,becausefis not differentiable on the open interval(a,b). No,becausef(a)≠f(b). If Rolle's theorem can be applied, find all values ofcin the open interval(...
It is important to underline that a new set of boundary conditions is used to obtain a general solution. From the latter, closed-form solutions of the strain transfer function can be deduced. In order to show, in practice, how the general solution is to be used, the calculations of ...
C++判断文件是否存在的方法汇总1. 使用boost判断文件是否存在std::string file_path = "file_name"; if (!boost::filesystem::exists(file_path)) { std::cout << "not exist file" << std::endl; }使用boost时需要包含:#inclu #include Test ...
of a linear transformation. The tangent line to a differentiable function f at the point (c, f (c)) with c = 0 goes through the origin if and only if f (c) = f (c)/c. By shifting, scaling, and tilting a given graph, it is possible to make the modified graph have a tang...