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m= slope
derivative = at this exact point what is the slope (look at the surrounding line aka context)
reasons a derivative would not exist (or a function that is not differentiable
1. f(x) is not continuous (like with an asymptote or a limit)
2. If there is a corner or cusp (if the function is not smooth) (not the same slope coming from the left and the right side like a piecewise function)
3. if the tangent line is vertical (if the slope is undefined) |
----------------- sof math --------------------
derivative of a constant (just a number)(so like 4) is always zero
derivative of 3x=3 5x=5 7x=7 x=1 BUT NOT IF X HAS A POWER THEN YOU USE POWER RULE
car -> que
gar -> gue
zar -> ce
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