Grade 12Differential Calculus
d/dx a^x,if a<0
d/dx a^x,if a<0
4 Answers
Ayush Agrawal
Shouldn''t it be a^x * ln a ???
Akash Kumar Dutta
a^x=m
xln a=ln m
ln a=1/m(dm/dx)
[a^x/ln a] = dm/dx=d/dx a^x
ANS
Prajwal kr
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.
anurag hundal
d/dx = x(a)^x-1
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