Question: Find f ' ( x ) and f ' ' ( x ) : A . g ( x ) = x 4 5 x

Find f'(x) and f''(x) :
A.g(x)=x45x3-4x Answer in radical (Change to exponent, apply Rules, Change back to radical)
B.f(x)=2x13x-5 Reduce the numerator
(Apply product zule, then the chain)
Find the equation of the tangent line to f(x)=x2x at a=1. Graph f(x) and tangent line at a=1.
Basic Steps:1.find f'(x),2.find f(a),f'(a),3.plug into formula y=f(a)f'(a)(x-a),
4. Make a table with start=-3, end=3, step=1,5. plot points, connect points for each graph.
Find f ' ( x ) and f ' ' ( x ) : A . g ( x ) = x

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