Question

Find derivative of x+ex - 3 w.r.to x​

Answer 1

Answer:

☺️☺️☺️☺️☺️☺️☺️☺️

Answer 2

Answer:

Begin by letting

y

=

3

x

now take the ln of both sides.

ln

y

=

ln

3

x

⇒

ln

y

=

x

ln

3

differentiate

implicitly with respect to x

⇒

1

y

d

y

d

x

=

ln

3

⇒

d

y

d

x

=

y

ln

3

now y =

3

x

⇒

d

y

d

x

=

3

x

ln

3

This result can be

generalised

as follows.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

a

a

d

d

x

(

a

x

)

=

a

x

ln

a

a

a

∣

∣

−−−−−−−−−−−−−−−−