Fid the value of ( k ) such that the tangent line to the graph of ( f(x)=frac{k+x}{x^{2}} ) has slop 5 at ( x=2 )

Question

Accepted Answer

Step:1 ：( f&#x27;(x) = frac{-2(k+x)}{x^{3}} )Step:2 ：( f&#x27;(2) = frac{-2(k+2)}{2^{3}} )Step:3 ：( 5 = frac{-2(k+2)}{8} )

Answer

Step: 1 ：( f&#x27;(x) = frac{-2(k+x)}{x^{3}} )Step: 2 ：( f&#x27;(2) = frac{-2(k+2)}{2^{3}} )Step: 3 ：( 5 = frac{-2(k+2)}{8} )

Fid the value of \( k \) such that the tangent line to the graph of \( f(x)=\frac{k+x}{x^{2}} \) has slop 5 at \( x=2 \)