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`        in[0,2] f(x) and g(x) are differentiable functions with  f`(1)=2, g`(1)=4 ,f(2)=3 ,g(2)=9 then at x=3/2 find value of f(x)-g(x)`
2 years ago

```							f'(1)=2   so...f'(x) = 2x (say)Integrating on both sides...So f(x)=2x + CWhere C is some constant that we can find...But f(2)=3So f(2)=2×2 +c4+C=3C=-1So...f(x)= 2x-1f(3/2)=2×3/2 - 1            =2Similarly....g(x)=4x + k          g(2)=9So...K=1g(x)=4x+1g(3/2)=4×3/2 +1           =7 So...f(x) - g(x) = 2-7 =-5
```
2 years ago
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