$$f$$ and $$g$$ are differentiable function in $$(0,1)$$ satisfying $$f(0)=2=g(\mathrm{l}), g(0)=0$$ and $$f(l)=6$$, then for some $$c \in] 0,1[$$

The maximum slope of the curve $$y=\frac{1}{2} x^4-5 x^3+18 x^2-19 x$$ occurs at the point

The interval in which the function $$f(x)=\sin x-\cos x, 0 \leq x \leq 2 \pi$$ is strictly decreasing, is

The slope of normal to the curve $$y=x^3+2 x+6$$ which is parallel to line $$x+14 y+4=0$$ is