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Solve the given problems by finding the appropriate derivatives.The displacement $s$ (in $\mathrm{cm}$ ) of a linkage joint of a robot is given by $s=\left(8 t-t^{2}\right)^{2 / 3},$ where $t$ is the time (in s). Find the velocity of the joint for $t=6.25 \mathrm{s}$

$$-1.35 \mathrm{cm} / \mathrm{s}$$

Calculus 1 / AB

Chapter 23

The Derivative

Section 7

The Derivative of a Power of a Function

Derivatives

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I give it a B l t is equal to duty when it's fortune over four post teeth word. Now our displacement is given by derivative of our velocity. So we just need to take the integral of our velocity. So integral over velocity is to tea when it's fortune over four t squared beauty and this is this t squared minus 14 over to students, seven engines inverse of you ever, uh, for Batou, which is to but seeing as a solution Oh, actually, we're also given in this, you know, information. We know that AT T is equal to zero s a secret video. So we have that if you call this Y zero is equal to zero minus seven and its interests of don't This is also don't see sooner that she is also because we have that y is equal to t squared minus seven tensions in verse of tea over to

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