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Higher-Order Derivatives
It can be seen that the derivative of a function is also a function.
Considering f'x as a function of x, we can take the derivative of f'x which will yield another function, say f''x. This is called the second derivative of f(x). The third derivative of f(x) is the derivative of the second derivative f''x. We can take derivatives of higher orders by repeating the process. The second, third, fourth, (etc.) derivatives are symbolically written as:
=
f'x
f''x
"
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Example of addition of Signed Numbers: Example: (-2) + 3 + 4 = 0 - 2 + 3 + 4 Solution: Thus: (-2) + 3 + 4 = 5 Example: 10 + (-5) + 8 + (-7)
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An unbiased die is tossed twice .Find the probability of getting a 4,5,6 on the first toss and a 1,2,3,4 on the second toss
calculation
Monotonic, Upper bound and lower bound Given any sequence {a n } we have the following terminology: 1. We call or denote the sequence increasing if a n n+1 for every n.
Assume that i) Determine all the roots of f(x) = 0. ii) Determine the value of k that makes h continuous at x = 3. iii) Using the value of k found in (ii), sh
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