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(Solved): Problem \#5: (a) Suppose that \( f^{\prime}(x)=\frac{\sqrt{x}-4}{x^{4}} \) for \( x>0 \), and that ...
Problem \#5: (a) Suppose that \( f^{\prime}(x)=\frac{\sqrt{x}-4}{x^{4}} \) for \( x>0 \), and that \( f(1) \) \( =1 \). Find \( f(4) \). (b) Suppose that \( f^{\prime}(x)=\frac{2}{1+x^{2}} \) and that \( f(0)=4 \). Find \( f \) \( (\sqrt{3}) \)
Expert Answer
We have here integration and derivative problem f?(x)=x?4x4 for x>0andf(1)=1 we need to find out f(4) we can write the above as f?(x)=x?4x4?f?(x)=xx4?