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  3. (2)please determine : first: (a) w’(x) ; th

(2)Please determine : FIRST: (A) W’(X) ; THEN: (B) W’(0); W(X) IS DEFINED BELOW: W(X) = [...

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Basic Math

(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 !

Answer & Explanation Solved by verified expert
4.4 Ratings (761 Votes)
GivenWe need to find out Wx using logarithmic differentiationLet us take ln in    See Answer
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