The table below shows world gold production,1Upper G equals f left-parenthesis t right-parenthesis , as a function of year, t .t (year) 2005 2006 2007 2008 2009Upper G (metric tons) 2470 2370 2360 2290 2450(a) Does f Superscript prime Baseline left-parenthesis t right-parenthesis appear to be positive or negative from 2005 to 2008? What does this mean in terms of gold production?(b) In which time interval does f Superscript prime Baseline left-parenthesis t right-parenthesis appear to be greatest?(c) Estimate f Superscript prime Baseline left-parenthesis 2009 right-parenthesis . Give units and interpret your answer in terms of gold production. Assume that the derivative is constant from 2008 to 2009 to make your estimate. D) was gold prodoction in 2009 increasing or decreasing? what is the rate of the increase or decrease?E) Use the estimated value of f Superscript prime Baseline left-parenthesis 2009 right-parenthesis to estimate f left-parenthesis 2011 right-parenthesis and f left-parenthesis 2017 right-parenthesis .