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  • Provide solution for RD Sharma maths class 12 chapter 10 Differentiation exercise Very short answers question 2

Provide solution for RD Sharma maths class 12 chapter 10 Differentiation exercise Very short answers question 2

Answers (1)

best_answer

Answer:

The answer of given question is 1.

Hint:

(f o f)(x)=f[f(x)]

Given:

\text { If } f(x)=x+1 \text { then find } \frac{d}{d x}(\text { fof })(x)

Solution:  

\begin{aligned} &f(x)=x+1 \\\\ &f[f(x)]=f(x+1) \\\\ &=x+1+1 \end{aligned}

\begin{aligned} &\frac{d}{d x}(f o f)(x)=\frac{d}{d x}(x+2) \\\\ &=1 \end{aligned}

so, the answer will be 1

 

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