If f(1) = 1, f'(1)= 3, then the der...
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If f(1) = 1, f'(1)= 3, then the derivative of f(f(f(x)))+(f(x)) atx=1 is (4) 15 (2) 9 (3) 12

JEE/Engineering Exams
Maths
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( 1 leq f(theta) leq ) ( operatorname{son}^{2} F(1)=1 quad f^{prime}(x)=3 ) Iel, ( f(x)=x^{3} quad F^{prime}(x)=3 x^{2} ) Value of ( F(F(f(x)))+(F(x))^{2}=g(x)(k t) ) ( =fleft(Fleft(x^{3}right)right)+left(x^{3}right)^{2} ) ( =Fleft(x^{3}right)^{3} cdot x^{6} ) ( =left(left(x^{3}right)^{3}right)^{3}+x 6 ) ( g(x)=x^{27}+x^{6} quad g^{prime}(x)=27 x^{26}+6 x^{5} ) en are Put ( x=1 ), then ( 9^{1}(x)=27+6 )
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