The pressure at a depth meters in a fluid tank is kilopascals

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

The pressure at a depth hh meters in a fluid tank is P(h)=100h2P(h)=100h^{2} kilopascals. A probe’s depth changes with time according to h(t)=3t−1h(t)=3t-1, where tt is in seconds. Determine dPdt\dfrac{dP}{dt} at t=0.5 st=0.5\text{ s}.

Related theory

Browse the problem library