How to find instantaneous rate of change for y = f ( t ) =...

myntfalskj4

myntfalskj4

Answered

2022-07-09

How to find instantaneous rate of change for y = f ( t ) = 16 ( t 2 ) + 59 t + 39 when t=1?

Answer & Explanation

Johnathan Morse

Johnathan Morse

Expert

2022-07-10Added 18 answers

The instantaneous rate of change of y=f(t) when t=1 is given by f'(1)
We have
f ( t ) = 16 t 2 + 59 t + 39
Differentiating wrt t we get
f'(t)=-32t+59
So when t=1 we have:
f'(1)=-32+59=27
Hence, the instantaneous rate of change of y=f(t) when t=1 is 27

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