Differentiability at a point: algebraic (function isn't differentiable)

Differentiable and Non Differentiable Functions - Statistics How To

Assume that f is a continuously differentiable function on ℝ such that the function g(t, x)=f^'(t x) / x is continuous for (t, x) in [a, b] ×ℝ and such that ∫-∞^∞ f^'(t x) / x d x is uniformly convergent for t in [a, b]. a) Show that ^b[∫-∞^∞ f^'(t x) / x d x] d t=∫-∞^∞[f(b x)-f(a x)] / x^2 d x. b) Prove that ∫-∞^∞[cosb x-cosa x] / x^2 d x=π(a-b). | Numerade

The Chain Rule with Trigonometric Functions

Chain Rule Examples - Statistics How To

Chain rule