# 10. Given f(x) = 3x + 1: a) Use the limit definition of derivative to...

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# 10. Given f(x) = √3x + 1: a) Use the limit definition of derivative to find f'(x) meaning find lim (No credit for using the short-cut formulas of derivatives which are not yet introduced) h-0 f(x+h)-f(x) h [7pts] Leave two lines if not printing this page. b) Find the slope of the tangent line to the graph of f(x)=√√3x + 1 at x = 8 using the derivative you found in part a) above. In other words, find f'(8) by using the derivative you derived in part a) [2pts] Leave two lines if not printing this page. c) Find the equation of the tangent line to the graph of f(x) = √3x +1 at the point (8,5) by using the slope you found in part b). [3pts] # 10. Given f(x) = √3x + 1: a) Use the limit definition of derivative to find f'(x) meaning find lim (No credit for using the short-cut formulas of derivatives which are not yet introduced) h-0 f(x+h)-f(x) h [7pts] Leave two lines if not printing this page. b) Find the slope of the tangent line to the graph of f(x)=√√3x + 1 at x = 8 using the derivative you found in part a) above. In other words, find f'(8) by using the derivative you derived in part a) [2pts] Leave two lines if not printing this page. c) Find the equation of the tangent line to the graph of f(x) = √3x +1 at the point (8,5) by using the slope you found in part b). [3pts]