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  • Choose the correct answer out of 4 options given against each Question If f(x)=(x-4)/(2√x) , then f’(1) is A. 5/4

Choose the correct answer out of 4 options given against each Question

If ~f \left( x \right) =\frac{x-4}{2\sqrt {x}}  then f’(1) is
A. \frac{5}{4}
B. \frac{4}{5}
C. 1
D. 0

Answers (1)

\\ f \left( x \right) =\frac{x-4}{2\sqrt {x}} \\ \\ f^{'} \left( x \right) =\frac{1}{2} \left[ \frac{\sqrt {x} *1- \left( x-4 \right) *\frac{1}{2\sqrt {x}}}{x} \right] =\frac{1}{2} \left[ \frac{x+4}{2x^{\frac{3}{2}}} \right] \\ \\ f^{'} \left( 1 \right) =\frac{1}{2} \left[ \frac{1+4}{2 \left( 1 \right) } \right] =\frac{5}{4} \\ \\

Hence, the answer is option A

Posted by

infoexpert21

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