Question

Please help with A and B

Answer 1

Explanation:

a. d

d

x

[

f

(

x

)

g

(

x

)

]

=

f

(

x

)

d

d

x

[

g

(

x

)

]

+

g

(

x

)

d

d

x

[

f

(

x

)

]

.

−

1

−

ln

(

x

Answer 2

`(a)\\\\(d)/(dx) \left(e^(x^2 -4x +1) \right)\\\\=e^(x^2 -4x +1) (d)/(dx) (x^2 -4x +1)\\\\=e^(x^2 -4x +1) (2x -4)\\\\(b)\\\\(d)/(dx) (2-x \ln x)\\\\=(d)/(dx) 2 - (d)/(dx) x \ln x\\\\\\= - \left(x (d)/(dx) \ln x + \ln x (d)/(dx) x \right)\\\\\\=-\left( x \cdot \frac 1x + \ln x \right)\\\\= - (1 + \ln x)\\\\=-1 -\ln x`