數學高手~ 請教教我做呢2題!

2011-11-05 3:37 pm

回答 (1)

2011-11-05 5:01 pm
✔ 最佳答案
1.
F’(x)=dF(x)/dx=df(x^7)/dx=[df(x^7)/dx^7]*[dx^7/dx]
=7f’(x^7)*x^6
F’(a)=7f’(a^7)*a^6=7*5*10=350
G’(x)=dG(x)/dx=df^7 (x)/dx=[df^7(x)/dx^7]*[dx^7/dx]
=7f^6(x)*x^6
G’(a)=7f^6(a)*a^6=7*3^6*10=51030

2.
F’(x)=dF(x)/dx=df(f(x))/dx=[df(f(x))/df(x)]*[df(x)/dx]
=f’(f(x))*f’(x)
F’(4)=f’(f(4))*f’(4)=f’(9)*6=15*6=90
G’(x)=dG(x)/dx=df^2(x)/dx=[df^2 (x))df(x)]*[df(x)/dx]
=2f(x)*f’(x)
G’(4)=2f(4)*f’(4)=2*9*6=108




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