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Hello I need some help with these 2 questions. If you could please show me all your work on a separate sheet of paper with

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Hello I need some help with these 2 questions. If you could please show me all your work on a separate sheet of paper with the solutions/answers that would be great!

image text in transcribed
1. For the function f(x) = x4 determine an approximation for the slope of the tangent to the curve at the point where a= 0.5. Use {(ath-(@), and h = 0.1. Show all your steps. 2. a) For the function /(x)=_ find an expression for the slope of a tangent at any my {(eth)-1(@) using ting Leth Simplify the expression. This is a function for slope of the function. Then evaluate this expression by substituting a = 1. Note : What you are doing here is finding the value of the slope of the tangent of f(x)= 1/x2 at the point x = 1. b) Determine the equation of this tangent line (in the form y = mx + b) using the slope of the tangent line of f(x) = 1/x2 at the point x = 1 or (1,1)

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