Question

Differentiate the following functions with respect to .

() ()

​

Answer 1

Answer:

px

2

+qx+r

.

Using,

dx

d

(

v

u

)=

(v)

2

(u)

dx

d

(v)−v

dx

d

(u)

differentiating w.r.t. x, we get

=

dx

d

(

ax+b

px

2

+qx+r

)

=

(ax+b)

2

(ax+b)

dx

d

(px

2

+qx+r)−(px

2

+qx+r)

dx

d

(ax+b)

=

(ax+b)

2

(ax+b)(2px+q)−a(px

2

+qx+r)

=

(ax+b)

2

apx

2

+2bpx+bq−ar

.