SOLUTION: Determine the equation of the normal to the curve representing the function f (x) = 3sqrt (x), to the point where x = 9. thank you

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Question 556283: Determine the equation of the normal to the curve representing the function f (x) = 3sqrt (x), to the point where x = 9.
thank you
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the equation of the normal to the curve representing the function f (x) = 3sqrt (x), to the point where x = 9.
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f%28x%29+=+3x%5E%281%2F2%29
f'(x) = 3%2A%281%2F2%29%2Ax%5E%28-1%2F2%29+=+3%2F%282sqrt%28x%29%29
f'(9) = 1/2
f(9) = 9
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Slope m of normal = -2
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y = mx + b
9 = -2*9 + b
b = 27
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--> y = -2x + 27