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# Differentiability

Those friendly functions that don't contain breaks, bends or cusps are "differentiable". Take their derivative, or just infer some facts about them from the Mean Value Theorem.

Sally drew the line \( y=2x+3 \) on the board. What is the slope of this line?

What is the slope of the line tangent to the curve \( y = \ln x + 20x \) at \( x = \frac{1}{7} \) ?

What is the slope of the tangent line of the curve \( f(x) = x^2 + 2013 \) at \( x = 29 \)?

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