Question

if f(x)= x+1, find d/dx (fof) (x). (class 12th sci) ​

Answer 1

f(x) = x+1

d/dx * x  =  d/dx*(x+1)

             =  dx/dx + d(1)/dx

            =     1       +    0

           =      1

Hope it helps you

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Answer 2

$\frac{d}{dx}(fof)(x)=1$

Step-by-step explanation:

Given : If f(x)= x+1

To find : $\frac{d}{dx}(fof)(x)$ ?

Solution :

f(x)= x+1

First we find,

$(fof)(x)=f(f(x))$

$(fof)(x)=f(x+1)$

$(fof)(x)=x+1+1$

$(fof)(x)=x+2$

Derivate w.r.t x,

$\frac{d}{dx}(fof)(x)=\frac{d}{dx}(x+2)$

$\frac{d}{dx}(fof)(x)=1$

Therefore, $\frac{d}{dx}(fof)(x)=1$

#Learn more

If f(x) = (x+1)^2,then find fof(-1)​

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