# Stewart â€“ Calculus â€“ 2.7 â€“ Derivatives and Rates of Change

1. Find an equation of the tangent line to the parabola $y=x^{2}$ at the point $P(1,1)$.
2. Find an equation of the tangent line to the hyperbola $f(x)=\frac{3}{x}$ at the point $(3, 1)$.
3. Find the derivative of the function $f(x)=x^{2}-8x+9$ at the number $a$.

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