Let f: ℝ→ℝ be a differentiable function with f(0)=0. If y=f(x) satisfies the differential equatio...

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Let f : (0,∞) → R be twice differentiable function.If some a ≠0,If integral 0 to 1 f(λx) dλ = af(x),

let f be a differentiable function satisfying f(x/y)=f(x)-f(y) for all x , y greater then 0 ...

Let for a differentiable function f: (0,∞) → R, f(x) – f(y) ≥ 〖log〗_e (x/y)+x-y, ∀x,y∈(0,∞).

Let for a differentiable function f:(0,♾️)R, f(x)-f(y) log(x/y)+x-y. Then Summation of f’(1/n^2)=?

Let ƒ(x) be a real differentiable function such that ƒ(0) = 1 and ƒ(x + y) = ƒ(x)ƒ'(y) + ƒ'(x) ƒ(y)

Let f : (0,∞) → R be a twice differentiable function. If for some a ≠0 , If integral 0 to 1 f(λx) d

A Proof that Differentiable Functions are Continuous

Let f be a differentiable function in the interval (0,∞) such that f(1) =1 and lim┬(t→x)⁡〖(t^2 f(x)-