Question 355684
Find the value of the derivative at that point.
{{{y=6*root(3,x)}}}
{{{dy/dx=6*(1/3)1/x^(2/3)}}}
{{{dy/dx=2/x^(2/3)}}}
At x=3,
{{{dy/dx=2/(3)^(2/3)}}} or approximately,
{{{m=(dy/dx)=0.961}}}
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{{{drawing(300,300,-2,10,-2,10,grid(1),circle(3,8.65,0.2),graph(300,300,-2,10,-2,10,6*x^(1/3),0.961(x-3)+8.65))}}}