# Chapter 11 - Section 11.4 - Introduction to Derrivatives - Exercise Set - Page 1175: 50

a) $4$ b) $y=4x-4$

#### Work Step by Step

a) Now, $m_{\tan}=\lim_\limits{ h\to 0} \dfrac{f(x+h)-f(x)}{h}$ or, $=\lim_\limits{ h\to 0} \dfrac{f(2+h)-f(2)}{h}$ or, $=\lim_\limits{ h\to 0} \dfrac{(2+h)^2-(2)^2}{h}$ or, $=\lim_\limits{ h\to 0} (h+4)$ or, $m_{tan}=4$ b) The equation of a line is: $y=mx+c$ Now, $y-4=4(x-2) \implies y=4x-4$

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