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# Find the second order derivatives of the functions given in Exercises 1 to 10. x ^ 20

Q2   Find the second order derivatives of the functions given in Exercises 1 to 10.

$x ^{20}$

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Given function is
$y=x ^{20}$
Now, differentiation w.r.t. x
$\frac{dy}{dx}= 20x^{19}$
Now, the second-order derivative is
$\frac{d^2y}{dx^2}= 20.19x^{18}= 380x^{18}$
Therefore,  second-order derivative is $\frac{d^2y}{dx^2}= 380x^{18}$

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