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Question

Match the following
FunctionsDerivatives(a)xn1)1x(logae)(b)ex2)1x,x>0(c)ax3)nxn1,n is a constant(d)logex4)axlogea,a>0(e)logax5)ex


A

a – 1, b – 2, c – 3, d – 4, e – 5

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B

a – 1, b – 5, c – 4, d – 2, e – 3

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C

a – 3, b – 5, c – 4, d – 2, e – 1

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D

None of the above

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Solution

The correct option is C

a – 3, b – 5, c – 4, d – 2, e – 1


These all are standard functions mentioned in the videos, where their derivatives were directly mentioned. In case you cannot recall a couple of them, you can use derivatives by first principle to evaluate them.
So the correct derivatives are as follows:
xnnxn1,n is a constantexexaxaxlogea,a>0logex1x,x>0logax1x(logae)


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