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41. If f"(x)-4x3-2such that f(2)=0, then find f(x)

Answer»

f'(x)=4x^3-3/(x^4)=4x^3-3x^(-4)f(x)=4x^4/4-3x^(-5)*(-4)+c where c is a constant =x^4+12/x^5+cf(2)=02^4+12/(2)^5+c=016+12/32+c=0c=-16-12/32so f(x)=x^4+12/(x)^5-16-12/32



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