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The rate of change of `sqrt(x^2+16)` with respect to `x/(x-1)` at `x=3` isA. 1B. `(11)/(5)`C. `-(12)/(5)`D. `-3` |
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Answer» Correct Answer - C `u=sqrt(x^(2)+16)` `therefore" "(du)/(dx)=(2x)/(2sqrt(x^(2)+16))=(x)/(sqrt(x^(2)+16))` `v=(x)/(x-1)` `rArr" "(dv)/(dx)=(-1)/((x-1)^(2))` `therefore" "(du)/(dv)=(du//dx)/(dv//dx)=(-12)/(5)` |
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