The Resistance R of a Certain Type of Resistor Is $R = \sqrt { 0.001 T ^ { 4 } - 3 T + 400 } ,$

Multiple Choice

The resistance R of a certain type of resistor is $R = \sqrt { 0.001 T ^ { 4 } - 3 T + 400 } ,$ where R is measured in ohms and the temperature T is measured in degrees Celsius. Use a computer algebra System to find $\frac { d R } { d T } .$

A)
$\frac { d R } { d T } = \frac { \sqrt { 0.004 T ^ { 3 } - 3 } } { 2 \sqrt { 0.001 T ^ { 4 } - 3 T + 400 } }$
B)
$\frac { d R } { d T } = \frac { \sqrt { 0.004 T ^ { 3 } - 3 } } { 2 \sqrt { 0.001 T ^ { 4 } - 3 } }$
C)
$\frac { d R } { d T } = \frac { T ^ { 3 } } { 500 \sqrt { 0.001 T ^ { 4 } - 3 T + 400 } }$
D)
$\frac { d R } { d T } = \frac { 0.004 T ^ { A } - 3 T } { 2 \sqrt { 0.001 T ^ { 4 } - 3 T + 400 } }$
E)
$\frac { d R } { d T } = \frac { 0.004 T ^ { 3 } - 3 } { 2 \sqrt { 0.001 T ^ { 4 } - 3 T + 400 } }$