If fx-1-x1-x21-x3- then f-1-A- 28B- 32C- 24D- 20

The correct option is C 24 f(x) = (1 + x) (1 + x^2)(1 + x^3) f’(x) = (1 + x) (1 + x^2) 3x^2+(1 + x)(1 + x^3).2x+ (1 + x^2) (1 + x^3) f’(1) = 12 + 8 + 4 = 24 ...

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Byju's Answer

Standard XII

Mathematics

Sum of Coefficients of All Terms

If fx=1+x1+x2...

Question

If f(x) = (1 + x) $(1 + x^{2}) (1 + x^{3})$ , then f'(1) =

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Solution

The correct option is B
24

$f (x) = (1 + x) (1 + x^{2}) (1 + x^{3})$

$f^{'} (x) = (1 + x) (1 + x^{2}) 3 x^{2} + (1 + x) (1 + x^{3}) .2 x + (1 + x^{2}) (1 + x^{3})$

$f^{'} (1) = 12 + 8 + 4 = 24$

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If f(x) = (1 + x) (1+x2)(1+x3), then f'(1) =

The correct option is B 24 f(x)=(1+x)(1+x2)(1+x3) f′(x)=(1+x)(1+x2)3x2+(1+x)(1+x3).2x+(1+x2)(1+x3) f′(1)=12+8+4=24

If f(x) = (1 + x) $(1 + x^{2}) (1 + x^{3})$ , then f'(1) =

The correct option is B
24

$f (x) = (1 + x) (1 + x^{2}) (1 + x^{3})$

$f^{'} (x) = (1 + x) (1 + x^{2}) 3 x^{2} + (1 + x) (1 + x^{3}) .2 x + (1 + x^{2}) (1 + x^{3})$

$f^{'} (1) = 12 + 8 + 4 = 24$