Find $f _ { H }$ if $f ( H , T ) = \frac { 5 H + T } { ( 3 - H ) ^ { 3 } }$ .
A) $\frac { 15 + 10 H + 3 T } { ( 3 - H ) ^ { 6 } }$
B) $\frac { 15 - 10 H + 3 T } { ( 3 - H ) ^ { 4 } }$
C) $\frac { 15 + 10 H + 3 T } { ( 3 - H ) ^ { 4 } }$
D) $\frac { 15 - 20 H - 3 T } { ( 3 - H ) ^ { 4 } }$
E) $\frac { 5 + 10 H + 3 T } { ( 3 - H ) ^ { 4 } }$

Question

Quizplus · Accepted Answer

The Answer is C

Find fHf _ { H }fH​ If f(H,T)=5H+T(3−H)3f ( H , T ) = \frac { 5 H + T } { ( 3 - H ) ^ { 3 } }f(H,T)=(3−H)35H+T​

Find $f _ { H }$ If $f ( H , T ) = \frac { 5 H + T } { ( 3 - H ) ^ { 3 } }$