Question

(ax2+bx+c)(px2+qx+r)​

Answer 1

Answer:

Step-by-step explanation:

Let y=ax2+bx+cpx2+qx+r

∴dydx=(px2+qx+r)(2ax+b)−(ax2+bx+c)(2p+q)(px2+qx+r)2

=2apx3+2aqx2+2arx+bpx2+bqx+br−2apx3−2bpx2−2pcx−aqx2−bqx−cq(px2+qx+r)2

∴dydx=(aq−bp)x2+(2ar+bq−2pc−pq)x+(br−cq)(px2+qx+r)2