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Tangent Lines and Derivatives
2. Intro to Derivatives / Tangent Lines and Derivatives / Problem 4
Problem 4

Use the following limit definition to determine the slope of the line tangent to the graph of ff at PP, where f(x)=43x2f\left(x\right)=\frac{4}{3x-2} and P(0,2)P\left(0,-2\right):
mtan=limh0f(a+h)f(a)hm_\text{tan}=\displaystyle \lim_{h \to 0}{\frac{f(a+h)-f(a)}{h}}