Provide an appropriate response.Derive the identity: cos 
= sin x
What will be an ideal response?
cos 
= cos x cos 
- sin x sin
= (cos x)(0) - (sin x)(-1)
= sin x
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Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.
y = xy = 2x
A. Since limx?0+ f '(x) = 1 while limx?0- f '(x) = 2, f(x) is not differentiable at x = 0. B. Since limx?0+ f '(x) = 2 while limx?0- f '(x) = 1, f(x) is not differentiable at x = 0. C. Since limx?0+ f '(x) = -2 while limx?0- f '(x) = -1, f(x) is not differentiable at x = 0. D. Since limx?0+ f '(x) = 1 while limx?0- f '(x) = 1, f(x) is differentiable at x = 0.
Solve the problem.A store owner wishes to stack books into equal piles, each pile containing only one title. There are 15 books of one title and 35 books of another title in a shipment. What is the largest number of books that can be stacked in each pile?
A. 15 B. 105 C. 35 D. 5
Provide an appropriate response.Add 10 + 
and reduce answers to lowest terms with improper fractions changed to whole or mixed numbers.
A. 
B. 
C. 
D. 
Tell whether the triangles are similar or not similar.
A. Similar B. Not similar