फलन `3e^(x) sin x + 5a^(x) log_(a)x` का x के साक्षेप अवकल गुणांक ज्ञात कीजिए ।

Explanation

` d/(dx) { 3e^(x) sin x + 5a^(x) log_(a) x} = 3 d/(dx) (e^(x) sin x) + 5 d/(dx) (a^(x)log_(a) x)`
` = { e^(x) d/(dx)sin x + sin x d/(dx) e^(x)} + 5 { a^(x) d/(dx) log _(a)x + log_(a) xd/(dx) a^(x)}`
`= 3{e^(x) cos x+ sin x.e ^(x)} + 5 { a^(x) log_(a) e1/x + log_(a) x.a^(x) log_(e) a}`
` = 3e^(x) { cos x + sin x } + 5a^(x) { (log_(a)e)/x + log_(a) x.log_(e) a}`