The option that shows that the derivative of a function as well as its intervals is decreasing is option C (Image attached).
What is the derivative?
A derivative is known to be a tool that help us to know the altering relationship that between two variables. The derivative formula is known to be ddx. xn=n.
Note that:
F¹(x) = e^sinx - cosx - 1
Set:
F¹(x) > 0
e^sinx > cosx - 1
0.633 < x < 4.155 and 6,916 < x < 9
So, if you look at the equation, the option that fits into the equation is option c:
Therefore, The option that shows that the derivative of a function as well as its intervals is decreasing is option C (Image attached).
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