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Given the functions y = 3x^3 + 6x and x = 2t^2 + t, find dy/dt

Given the functions y = 3x^3 + 6x and x = 2t^2 + t, find dy/dt
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3 votes
Given the functions y = 3x^3 + 6x and x = 2t^2 + t, find dy/dt

Given the functions y = 3x^3 + 6x and x = 2t^2 + t, find dy/dt-example-1
User Vinay Pandey
by
8.3k points

1 Answer

6 votes
The answer is the option A.

dy dy dx
---- = ------- . -------
dt dx dt

dy
---- = 9x^2 + 6
dx

dx
---- = 4t + 1
dt

=> dy / dt = (9x^2 + 6) (4t + 1)
User Todd Agulnick
by
7.8k points
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