How do you find the derivative of $(π) (cos t - \frac{1}{t^{2}})$ $(pi)(cos t - 1/t^2)$ ?

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Answer 1 · 2015-10-17T18:34:37

$\frac{d y}{d t} = - π sin t + \frac{2 π}{t^{3}}$ $dy/dt=-pisint+(2pi)/t^3$

First multiply out and use laws of exponents to write the function in a better form as follows :

$y = π cos t - π t^{- 2}$ $y=picost-pit^(-2)$

Now use normal rules of differentiation to find the derivative :

$therefore dy/dt=-pisint+2pit^(-3)$

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