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Find the Rate of Change of X with Respect to P

Question 74

Multiple Choice

Find the rate of change of x with respect to p. p=20.00001x3+0.1xx0p = \frac { 2 } { 0.00001 x ^ { 3 } + 0.1 x } x \geq 0


A) 2p2(0.00003x2+0.1) - \frac { 2 } { p ^ { 2 } \left( 0.00003 x ^ { 2 } + 0.1 \right) }
B) 2p(0.00003x2+0.1) - \frac { 2 } { p \left( 0.00003 x ^ { 2 } + 0.1 \right) }
C) 2p2x(0.00003x2+0.1) - \frac { 2 } { p ^ { 2 } x \left( 0.00003 x ^ { 2 } + 0.1 \right) }
D) 2px(0.00003x2+0.1) - \frac { 2 } { p x \left( 0.00003 x ^ { 2 } + 0.1 \right) }
E) 2xp2(0.00003x2+0.1) - \frac { 2 x } { p ^ { 2 } \left( 0.00003 x ^ { 2 } + 0.1 \right) }

Correct Answer:

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