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Please solve RD Sharma class 12 chapter 10 Differentiation exercise Fill in the blanks question  25 maths textbook solution

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Answer: the correct answer is =0

Hint: put 1,4,5 in the equation to get the respective value the use f^{1}(1)+f^{1}(u)-f^{1}(5)

Given: y=a x^{2}+b x+c


\begin{aligned} &y=a x^{2}+b x+c \\\\ &f^{1}(x)=\frac{d y}{d x}=2 a x+b \\\\ &f^{1}(1)=2 a+b \text { and } \end{aligned}

\begin{aligned} &f^{1}(x)=3 a+4 b \\\\ &f^{1}(5)=10 a+5 b \\\\ &f^{1}(1)+f^{1}(u)-f^{1}(5) \end{aligned}

=2 a+b+8 a+4 b-10 a-5 b

So the correct answer is 0


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