dy/dx = 3x² - 3
slope at (2,4) = 3·2²-3 = 9
tangent line:
y-4 = 9(x-2)
y = x³ − 3x + 2
Let's find the derivative
----------------------------------
y' = 3x² − 3
Let's find the slope
---------------------------
m = 3 * 2² - 3
m = 12 - 3
m = 9
Let's find n
----------------
y = mx + n
4 = 9 * 2 + n
n = -14
So the equation of the tangent line is
--------------------------------------
y = 9x - 14
I'm not going to do your homework
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Answers & Comments
dy/dx = 3x² - 3
slope at (2,4) = 3·2²-3 = 9
tangent line:
y-4 = 9(x-2)
y = x³ − 3x + 2
Let's find the derivative
----------------------------------
y' = 3x² − 3
Let's find the slope
---------------------------
m = 3 * 2² - 3
m = 12 - 3
m = 9
Let's find n
----------------
y = mx + n
4 = 9 * 2 + n
n = -14
So the equation of the tangent line is
--------------------------------------
y = 9x - 14
I'm not going to do your homework