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Application of Derivatives question

2024 · 5 Apr · Shift 1 · Q38

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2024 · 5 Apr · Shift 1 · Q38

Application of Derivatives question

2024 · 5 Apr · Shift 1 · Q38

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

Let

f(x)=x^5+2 x^3+3 x+1, x \in \mathbf{R}

, and

g(x)

be a function such that

g(f(x))=x

for all

x \in \mathbf{R}

. Then

\frac{g(7)}{g^{\prime}(7)}

is equal to :

A
42
B
7
C
1
D
14

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