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Question 10.4

Solutions

TZ
leumasicOfficial

3 months ago

i)

f(x)=1(1+x)2,f(f(x))=1(1+11+x)2f'(x)=\frac{-1}{(1+x)^2},\qquad f'(f(x))=\frac{-1}{\left(1+\frac{1}{1+x}\right)^2}

ii)

f(x)=cosx,f(f(x))=cos(sinx)f'(x)=\cos x,\qquad f'(f(x))=\cos(\sin x)

iii)

f(x)=2x,f(f(x))=2(x2)f'(x)=2x,\qquad f'(f(x))=2(x^2)

iv)

f(x)=0,f(f(x))=0.f'(x)=0,\qquad f'(f(x))=0.
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Q 10.4