To determine

To differentiate: hu=10u

Answer

Answer: h'u=ln102.10uu

Explanation

Given hu=10u

Taking natural logarithm on both sides, we get

lnhu=ln10u

ln⁡h(u)=uln10

Differentiating w.r.t 'u'

1hu.h'u=12u.ln10

h'u=ln102u.h(u)

h'u=12ln10.10uu

Conclusion:

h'u=ln102.10uu