Choose the correct answer

Question

If = e^(1+lnx) ,then dy/dx=.....

a)x     b)ex     c)e       d)1

Answer 1

We need d/dx (e^{1+In x})

First, rewrite the expression using a^b+c ≡ a^b.a^c

e^{1+In x} = e¹.e^{In x} = xe

d/dx (xe) = e

∴ d/dx (e^{1+In x}) = e