Application of ...

If $$f(x)=kx^3 -9x^2 +9x+3$$ is increasing for every real number $$x$$, then

The tangent to the curve $$y=e^{kx}$$ at a point (0, 1) meets the x-axis at (q, 0) where $$a \epsilon  \left [ -2,-1 \right ]$$ then $$k \epsilon $$ 

The function $$f(x)=x^3-27x+8$$ is increasing when

If the slope of the tangent to the curve $$xy+ ax+ by=0$$ at the point $$(1, 1) $$ on it is $$2$$, then values of $$a$$ and $$b$$ are

If the slope of the tangent to the curve $$y = x^{3}$$ at a point on it is equal to the ordinate of the point then the point is

A stationary point of $$\mathrm{f}(\mathrm{x})=\sqrt{16 -\mathrm{x}^{2}}$$ is 

The critical point of $$\mathrm{f}(\mathrm{x})=|2\mathrm{x}+7|$$ at $$\mathrm{x}=$$

The number of ciritical points of $$\displaystyle \mathrm{f}(\mathrm{x})=\frac{|x-1|}{x^{2}}$$ is

A stationary value of $$\mathrm{f}(\mathrm{x})=\mathrm{x}(\ln \mathrm{x})^{2}$$ is