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d/dx a^x,if a<0
Shouldn''t it be a^x * ln a ???
a^x=mxln a=ln mln a=1/m(dm/dx)[a^x/ln a] = dm/dx=d/dx a^x ANS
In JEE, we don''t deal with power functions with base<0 as it oscillates between real and complex very frequently. Think of x=1, 1/4, 1/2, 1/8, 2...... out of these only two points are defined. So, base <0 isn''t there in jee syllabus. Don''t worry about it.
d/dx = x(a)^x-1
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