senturtle senturtle

19-11-2019
Mathematics

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how do you find the derivative of h(t)=sqrt(t)(1-t^2)

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surjithayer10otahza surjithayer10otahza

19-11-2019

Answer:

Step-by-step explanation:

[tex]h(t)=\sqrt{(t)(1-t^2)}\\h^{2}(t)=t(1-t^2)=t-t^3\\ diff. w.r.t.,\\2 h(t)h'(t)=1-3t^2\\h'(t)=\frac{1-3t^2}{2 h(t)} \\h'(t)=\frac{1-3t^2}{2\sqrt{(t)(1-t^2)} }[/tex]

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