Is the following statement true?
If the derivative of a function $f(x)$ is a product $g(x)\cdot \dfrac{1}{h(x)}$ where $g$ and $h$ are continuous functions, then the function $f(x)$ is a differentiable continuous function.
Is the following statement true?
If the derivative of a function $f(x)$ is a product $g(x)\cdot \dfrac{1}{h(x)}$ where $g$ and $h$ are continuous functions, then the function $f(x)$ is a differentiable continuous function.