SOLUTION: Let f(x)=x^3-x^2-5x-1. Find an equation of the line tangent to the graoh of f at the point (2,f(2)). Find an equation of the line tangent to the graph of f(x)= (x^3+1)/√x

SOLUTION: Let f(x)=x^3-x^2-5x-1. Find an equation of the line tangent to the graoh of f at the point (2,f(2)). Find an equation of the line tangent to the graph of f(x)= (x^3+1)/√x

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Question 1008240: Let f(x)=x^3-x^2-5x-1. Find an equation of the line tangent to the graoh of f at the point (2,f(2)).
Find an equation of the line tangent to the graph of f(x)= (x^3+1)/√x at the point corresponding to x=1.
please.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The value of the slope of the line is equal to the value of the derivative at that point.

So at ,

The value of the function is,

So now use the point-slope form of a line,

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Similarly,

So at

and

So point slope form is,

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