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[All Steps] The altitude h (in meters) of a jet as a function of the horizontal distance x (in kilometers) it has traveled is given by: h=0.000104x^4-0.0417x^3+4.21x^2-8.33x

Question: The altitude h (in meters) of a jet as a function of the horizontal distance x (in kilometers) it has traveled is given by:

\[h=0.000104{{x}^{4}}-0.0417{{x}^{3}}+4.21{{x}^{2}}-8.33x\]

Find the instantaneous rate of change of h with respect to x for x = 120 km.

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[All Steps] The altitude h (in meters) of a jet as a function of the horizontal distance x (in kilometers) it has traveled is given by: h=0.000104x^4-0.0417x^3+4.21x^2-8.33x

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