d/dx aᵃ=....... (a>0),Select Proper option from the given options.
(a) aᵃ(1+loga)
(b) 0
(c) aᵃ
(d) does not exist
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you should understand that if function is constant , derivative of it will be zero.
as you know constant function is independent with value of x. it remains same for all value of x. hence, if we differentiate it with respect to x, we get , dy/dx = 0.
Similarly , here given function is y = a^a
a^a is a constant function because a^a doesn't contain x . so, derivative of a^a e.g., d(a^a)/dx = 0
hence, option (b) is correct
as you know constant function is independent with value of x. it remains same for all value of x. hence, if we differentiate it with respect to x, we get , dy/dx = 0.
Similarly , here given function is y = a^a
a^a is a constant function because a^a doesn't contain x . so, derivative of a^a e.g., d(a^a)/dx = 0
hence, option (b) is correct
Answered by
0
We know that derivative of a constant
function is 0
That is d(c)/dx = 0
Here a^a is a positive real number.
Hence d(a^a)/dx = 0
Option b is correct
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