(2)Please determine : FIRST: (A) W’(X) ; THEN: (B) W’(0); W(X)IS DEFINED BELOW:
W(X) = [ (10* (X^4) ) – 8 ] * { [ (30*X ) + 25 ] ^ (0.5) }
HOWEVER, YOU MUST USE LOGARITHMIC DIFFERENTIATION, NOT THE PRODUCTRULE; IMPORTANT NOTE : YOU WI LL NOT BE GIVEN A N Y CREDIT FOR USEOF THE PRODUCT RULE, IN ORDER TO OBTAIN THE DERIVATIVE OF T(X)!
SERIOUSLY – YOU M U S T USE O N L Y LOGARITHMIC DIFFERENTIATIONHERE !
HINT: (A) FIRST , TAKE “ Ln “ of BOTH SIDES; THEN, DIFFERENTIATEIMPLICITLY, PARTLY WITH USE OF THE CHAIN RULE; THEN, SOLVE FORW’(X). FINALLY, PLEASE
ALSO remember to EVALUATE W’(X) at X =0, to complete YOUR PART (B)WORK !
