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Question

If f(x)=(x21)(3+x2)12(8+x4)12, then f(1) is equal to

A
0
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B
3
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C
12
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D
7
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Solution

The correct option is C 12
Let differentiation of (3+x2)12=K
and differentiation of (8+x4)12=L
f(x)=(x21)(K)(8+x4)12+(x21)(3+x2)12(L)+(2x)(3+x2)12(8+x4)12
f(1)=0+0+2(4)12(8+1)12
f(1)=223=12

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