Bart H.

asked • 02/03/21

Calculus 1 Question Derivatives

1)Assume that g(y) has a derivative at y = 3.5 with g′(−3.5) = −3. Using the definition of the derivative, explain why the function f (y) = g(y) − 10 has a derivative at y = 3.5 with

f′(3.5)=−3.


2)Assume that g(y) has a derivative at y = 3.5 with g′(−3.5) = −3. Use geometry to explain why the function f (y) = g(y) − 10 has a derivative at y = 3.5 with f ′(3.5) = −3.


William W.

Are you sure it's supposed to say g'(-3.5) as opposed to g'(3.5)?
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02/03/21

Bart H.

yes its g'(-3.5)
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02/03/21

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