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Dani Khan
Jan 9

Derivatives Chain rule question.

Hello, can someone help me solve this question:


y = √(x^2 - 6x + 13)

find the coordinates of the point on the curve where the gradient is 0.

1
Ian Fowler
Jan 9  ·  Edited: Jan 9

I assume gradient means slope and not the normal.

1) Find dy/dx

2) You should get a fraction with x in both numerator and denominator.

3) In order for a fraction to be 0, then the numerator must be 0

4) Set the numerator equal to 0 and solve for x

5) Substitute that value of x back into the original to get the corresponding y value


You should get (3,2)



1
Dani Khan
Jan 9  ·  Edited: Jan 9

okay, thank you and yes it does mean the slope

Ian Fowler
Jan 10

let us know if you have trouble with step 1

0