AMERICA CALCULUS

質問

Ima America de Calculus wo totterumono desu. Wakaranai mondai ga arunode onegaishimasu!

If f(2)=10 and f^ ' (x)=x^2 f(x)for all x find f ''(2)

koreto

z = w^2/3 (w + ce^w) no bibun. e wa y=e^x no e desu. yoroshiku onegaishimasu!

回答No.1

hrsmmhr · ベストアンサー

f'(x)=x^2f(x)
f''(x)=2xf(x)+x^2f'(x)=2xf(x)+x^2*x^2f(x)=(x^4+2x)f(x)
f''(2)=(2^4+2*2)f(2)=20*10=200

{w^(2/3)(w+ce^w)}'=2/3w^(-1/3)(w+ce^w)+w^(2/3)(1+ce^w)=w^(-1/3)/3(2w+2ce^w+3w+3cwe^w)
=w^(-1/3)/3{5w+c(3w+2)e^w}

お礼

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