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Given a curve \(\mathrm{y}=7x-{x}^{3}\) and \(x\) increases at the rate of \(2\) units per second. The rate at which the…

Q1

Given a curve \(\mathrm{y}=7x-{x}^{3}\) and \(x\) increases at the rate of \(2\) units per second. The rate at which the slope of the curve is changing, when \(\mathrm{x}=5\) is:

a

\(-60\mathrm{units}/\sec\)

b

\(60\mathrm{units}/\sec\)

c

\(-70units/sec\)

d

\(-140units/sec\)

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