Let c be a negative constant (i.e. c < 0). Let f be a function whose derivative equalsC f^{\prime}(x)=x e^{c x^{3}} Which of the following assertions is FALSE? f \text

{ is decreasing on }(-\infty, 0) \text {. } \text { A local minimum of } f \text { occurs at } x=0 \text {. } f \text { is decreasing on }(0, \infty) \text { The derivative } f^{\prime}(x) \text { is increasing on }(-\infty, 0) \text {. } \text { An absolute minimum of } f \text { occurs at } x=0 \text {. }