Calculate r' (t) and T(t), where 88.8 r' (t) = ( T(t) = ( r(t) = (3t6,2 - 3t, 2t - 9).

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A: use the formula for the derivative  d ( u v ) = u dv + v du  ddxeax=aeax,ddxax=a

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A: We will use Chain rule and Division rule of derivative

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Q: If f(x) = 3/7(2 – 7a + 5), find f'(x). - Find f'(3).

A: Given:- f(x) = 3√x(x3-7√x+5)  To find:- f'(x) and f'(3)

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Q: f(a)=9 I'(a)= 5 = -4 $()= 5 • If glx)=1F[=), find gʻ(2) -1f hlx)=f(casx), find hi(M%)

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Q: Q2-Prove that

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Q: here w

A: Here we have,  z(w)=w23w+cewz(w)=w23+1+cw23ewz(w)=w53+cw23ew differentiate with respect to w

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Q: sand is poured into a bucket for 30 seconds. after t seconds, the weight in sand is given by S(t) =…

A: sand is poured into a bucket for 30 seconds. after t seconds, the weight in sand is given by…