Recovering a curve from derivative information
Recovering a curve from derivative information
4 marks
TGM Original
A curve has (dy)/(dx)=4 sqrt(x) + (1)/(x 3)2 and passes through (1,3). Find its equation. Use x>0.
Solution:
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Answer:\(y=\frac{8 x^{\frac{3}{2}}}{3} + \frac{7}{3} - \frac{2}{\sqrt{x}}\)
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