CPM Homework Help : APCALC Problem 3-134

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3-134.

For each of the following functions, write the second derivative with respect to $x$ .

$y = 8x^{99}$
Steps (a):
$y=8x^{99}$
$\frac{dy}{dx}=(99)8x^{98}=792x^{98}$
$\frac{d^{2}y}{dx^{2}}=\underline{ \ \ \ \ \ \ \ }$
Answer (a):
$(98)(99)8x^{97} = 77,616x^{97}$

$y = −3\sqrt { x }$
Hint (b):
Refer to part (a) for further guidance. Remember to rewrite the square root with an exponent before proceeding.

$f(x)=\frac{2}{3}x-6x^{-2}$
Hint (c):
Refer to part (a) for further guidance.

$f(x)=7−2\cos(x)$
Hint (d):
Refer to part (a) for further guidance.

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