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Lesson Specific Problems

  • The derivative of $f(x)=mx+b$.
  • Prove that $f(x)$ is differentiable at $x$ if and only if \[ \lim_{t\to x}\,\frac{f(t)-f(x)}{t-x} \] exists. When the limit exists it is equal to $f'(x)$.
  • Find the derivative of $f(x)=x$.
  • The Derivative of a Constant
  • Derivative of $x^2$

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