If f(2) = 3 and f(2) = 5, :find an

klytamnestra9a

klytamnestra9a

Answered question

2021-12-05

If f(2) = 3 and f(2) = 5, :find an equation of (a) die tangent line, and (b) the nonna/ line tD the graph of y = f(x) at the point where x = 2.

Answer & Explanation

Salvador Fry

Salvador Fry

Beginner2021-12-06Added 12 answers

From part (a) and the fact that f'(2)=5 we know that the slope of the tangent line is 5 so the slope of the normal line is m=15.
Since we also have 1 point (2, f(2))=(2,3) we can use equation of the line to determine the normal line at x=2.
yy1=m(xx1)
y3=15(x2)
y=15x+152+3
y=15x+25+155
y=15x+175
The normal line to the graph of y=f(x) at the point where x=2 is y=15x+175
Result:
y=15x+175

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