Question
Asked Sep 28, 2019
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Can you help me step by step with this problem?

19
dy
Find
dt
y21(32-75
dy
dt
II
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19 dy Find dt y21(32-75 dy dt II

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Expert Answer

Step 1

Firstly, we set u=2t and v=(3t^2-70)^5, then we fid du/dt and dv/dt

y 21(3t2 -7)
5
u 2t,v (3t2-7
=
_
y= uv
du
2
dt
dv
5(3t2
dt
4 d
3t
dt
5(3t2
30t(3t2
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y 21(3t2 -7) 5 u 2t,v (3t2-7 = _ y= uv du 2 dt dv 5(3t2 dt 4 d 3t dt 5(3t2 30t(3t2

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Step 2

Then, we use product rule of differentiation

yuv
du
dv
= u_+v-
dt
dv
dt
dt
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yuv du dv = u_+v- dt dv dt dt

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Step 3

By substituting du/dt and dv/dt an...

2 30 (3 - 7)" |- (3 -7 )e)
4(3r -7) (602 +6 -14)
dy
dt
dy
dt
d(3r -7) (66 -14)
dt
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2 30 (3 - 7)" |- (3 -7 )e) 4(3r -7) (602 +6 -14) dy dt dy dt d(3r -7) (66 -14) dt

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Tagged in

Math

Calculus