Application of ...

The slope of the tangent to the curve $$x=t^2+3t-8, y=2t^2-2t-5$$ at the point $$(2, -1)$$ is

The normal to the curve $$x^2=4y$$ passing through $$(1, 2)$$ is

Let $$f(x)={x}^{3}+a{x}^{2}+bx+5{\sin}^{2}x$$ be an increasing function on the set $$R$$. Then, $$a$$ and $$b$$ satisfy

If the function $$f(x)=\cos\left| x \right| -2ax+b$$ increases along the entire number scale, then 

Function $$f(x)={a}^{x}$$ is increasing on $$R$$, if

The function $$f(x)=\cfrac{\lambda \sin x+2\cos x}{\sin x+\cos x}$$ is increasing, if

If the function $$f(x)={x}^{3}-9k{x}^{2}+27x+30$$ is increasing on $$R$$, then 

If the function $$f(x)={x}^{2}-kx+5$$ is increasing on $$[2,4]$$, then 

Function $$f(x)=\log _{ a }{ { x }_{  } } $$ is increasing on $$R$$, if

The function $$f(x)={x}^{9}+3{x}^{7}+64$$ is increasing on