Questions in differentiation

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If $f(x)=2{{x}^{3}}-21{{x}^{2}}+36x-30$ , then which one of the following is correct
The maximum value of $2{{x}^{3}}-24x+107$ in the interval [–3, 3] is
If the function $f(x)={{x}^{4}}-62{{x}^{2}}+ax+9$ is maximum at $x=1$ , then the value of a is
The minimum value of the expression $7-20x+11{{x}^{2}}$ is
Maximum value of $x{{(1-x)}^{2}}$ when $0\le x\le 2$ , is
If from a wire of length 36 metre a rectangle of greatest area is made, then its two adjacent sides in metre are
The minimum value of $2{{x}^{2}}+x-1$ is
The minimum value of the function $y=2{{x}^{3}}-21{{x}^{2}}+36x-20$ is
The sum of two non-zero numbers is 4. The minimum value of the sum of their reciprocals is
The minimum value of $[(5+x)(2+x)]/[1+x]$ for non-negative real x is

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