Question

F(B,C) = 35.74 + 0.6125B – 35.75C^ 0.16 + 0.4275BC^ 0.16

have to find fB and fC?

Partial Derivatives

Answer 1

for fB treat C as a constant
fB =0.6125+0.4275C^0.16

for fC treat B as a constant
fC = (0.16)0.4275BC^-0.84 - (0.16)35.75C^-0.84
combine like terms
fC=[ (0.16)0.4275B-(0.16)35.75]C^-0.84

Answer 2

where did the ^ -0.84 come from?