derivatives

Consider the function given below and pick one or more CORRECT statement(s) from the following choices. $$ f(x)=x^3-\frac{15}{2} x^2+18 x+20 $$

Consider the polynomial $f(x) = x^3 - 6x^2 + 11x - 6$ on the domain $S$ given by $1 \le x \le 3$. The first and second derivatives are $f'(x)$ and $f''(x)$. Consider the following...

Consider the polynomial f(x) = x 3 $$-$$ 6x 2 + 11x $$-$$ 6 on the domain S, given by 1 $$\le$$ x $$\le$$ 3. The first and second derivatives are f'(x) and f''(x). Consider the fol...

A particle moves along a curve whose parametric equations are: $$\,x = {t^3} + 2t,\,y = - 3{e^{ - 2t}}\,\,$$ and $$z=2$$ $$sin$$ $$(5t),$$ where $$x, y$$ and $$z$$ show variations...

The function $$f\left( x \right) = 2{x^3} - 3{x^2} - 36x + 2\,\,\,$$ has its maxima at

Number of inflection points for the curve $$\,\,\,y = x + 2{x^4}\,\,\,\,$$ is_______.

The function $$f\left( x \right) = {x^3} - 6{x^2} + 9x + 25$$ has