Find the rate of change of the distance D between the origin and a mov

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Find the rate of change of the distance D between the origin and a moving point on the graph of y = x2 + 8 if dx/dt = 8 centimeters per second. A) dDdt = 8 x3+136 xx4+16 x2+64 B) dDdt = 16 x3+24 xx4+16 x2+64 C) dDdt = 16 x3+136 xx4+17 x2+64 D) dDdt = 16 x3−136 xx3+17 x2+64 E) dDdt = 8 x3−24 xx3+17 x2+64

Find the rate of change of the distance D between the origin and a moving point on the graph of y = x2 + 8 if dx/dt = 8 centimeters per second. A) dDdt = 8 x3+136 xx4+16 x2+64 B) dDdt = 16 x3+24 xx4+16 x2+64 C) dDdt = 16 x3+136 xx4+17 x2+64 D) dDdt = 16 x3−136 xx3+17 x2+64 E) dDdt = 8 x3−24 xx3+17 x2+64

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Find the rate of change of the distance

D

between the origin and a moving point on the graph of

y = x^{2} + 8

if

d x / d t = 8

centimeters per second. A)

\frac{d D}{d t} = \frac{8 x^{3} + 136 x}{\sqrt{x^{4} + 16 x^{2} + 64}}

B)

\frac{d D}{d t} = \frac{16 x^{3} + 24 x}{x^{4} + 16 x^{2} + 64}

C)

\frac{d D}{d t} = \frac{16 x^{3} + 136 x}{\sqrt{x^{4} + 17 x^{2} + 64}}

D)

\frac{d D}{d t} = \frac{16 x^{3} - 136 x}{\sqrt{x^{3} + 17 x^{2} + 64}}

E)

\frac{d D}{d t} = \frac{8 x^{3} - 24 x}{x^{3} + 17 x^{2} + 64}

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