Provide an appropriate response.Suppose that u = g(x) is differentiable at x = 2 and that y = f(u) is differentiable at 
If the tangent to the graph of 
at 
is not horizontal, what can we conclude about the tangent to the graph of g at 
and the tangent to the graph of f at
src="https://sciemce.com/media/4/ppg__tttt0615190841__f1q56g5.jpg" alt="" style="vertical-align: -4.0px;" /> Explain.
What will be an ideal response?
Neither the tangent to the graph of g at x = 2 nor the tangent to the graph of f at 
can be horizontal. Since 
at 
is not horizontal, 
That means that neither multiplier can be = 0. Since 
the tangent to the graph of f at 
cannot be horizontal. Since 
the tangent to the graph of g at x = 2 cannot be horizontal.
Mathematics
src="https://sciemce.com/media/4/ppg__tttt0615190841__f1q56g5.jpg" alt="" style="vertical-align: -4.0px;" /> Explain.
What will be an ideal response?
Neither the tangent to the graph of g at x = 2 nor the tangent to the graph of f at can be horizontal. Since at is not horizontal, That means that neither multiplier can be = 0. Since the tangent to the graph of f at cannot be horizontal. Since the tangent to the graph of g at x = 2 cannot be horizontal.
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What will be an ideal response?