Thread: Given Derivative Thru a Point

Another question..

f'(x)=1/XSQRED + 2X and goes through (-1,1).

I need to find a function that has that derivative and passes through that point

Originally Posted by Super Mallow

Another question..

f'(x)=1/XSQRED + 2X and goes through (-1,1).

I need to find a function that has that derivative and passes through that point

we want and as an initial condition. who do you think you should proceed?

Hello, Super Mallow!

and goes through (-1,1).

Find a function that has that derivative and passes through that point.

We have: .

Integrate: .


We are told that, when

. . So we have: .


Therefore: .

I forgot about C =)

That explains it, thank you!