Question

find dy/dx if y =xe^4​

Answer 1

Answer:

y

=

x

e

x

Differentiate both sides of the equation.

d

d

x

(

y

)

=

d

d

x

(

x

e

x

)

The derivative of

y

with respect to

x

is

y

'

.

y

'

Differentiate the right side of the equation.Reform the equation by setting the left side equal to the right side.

y

'

=

e

x

x

+

e

x

Reorder factors in

e

x

x

+

e

x

.

y

'

=

x

e

x

+

e

x

Replace

y

'

with

d

y

d

x

.

d

y

d

x

=

x

e

x

+

e

x