Inverse integration

Calculus Level 4

Let f(x)=2xt1+t4dt f(x) = \displaystyle \int_2^x \dfrac{t}{\sqrt{1 + t^4}}\text{dt} and g be the inverse of ff.
Then the value of g(0) g'(0) is

Clarification:

  • f(x)f'(x) means first derivative of f(x)f(x) with respect to x.
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