1. Tardigrade
  2. Question
  3. Mathematics
  4. Let f(x)=((x3-2 x2+x)(πx-1)+(1+x2+x4)/(1-x+x2)) and g(x)= sin 2 x If . displaystyle∑ r =01 ( d 2 g / dx 2)| x = f prime( r )= a ( cos α)( cos β), where a , α, β ∈ N, then the value of ( a +α+β) is equal to

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Q. Let $f(x)=\frac{\left(x^3-2 x^2+x\right)\left(\pi^x-1\right)+\left(1+x^2+x^4\right)}{\left(1-x+x^2\right)}$ and $g(x)=\sin ^2 x$ If $\left.\displaystyle\sum_{ r =0}^1 \frac{ d ^2 g }{ dx ^2}\right|_{ x = f ^{\prime}( r )}= a (\cos \alpha)(\cos \beta)$, where $a , \alpha, \beta \in N$, then the value of $( a +\alpha+\beta)$ is equal to

Continuity and Differentiability

Solution:

Correct answer is (d) 10