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Please solve RD Sharma class 12 chapter 10 Differentiation exercise Fill in the blanks question  5 maths textbook solution

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Answer: f^{1}(0)=0

Hint: f^{1}(x)=g^{1}(x)>g^{1}(x)

Solution:  f(x)=e^{x} g(x)

Differentiating f(x) we get

\begin{aligned} &f^{1}(x)=e^{x} g^{1}(x)+e^{x} g(x) \\\\ &f^{1}(0)=e^{0} g^{1}(0)+e^{0} g(0) \end{aligned}

           \begin{aligned} &=1(1)+1(2) \\\\ &=1+2 \\\\ &=3 \end{aligned}



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