00:01
So the interesting thing about this problem is that we have a chain rule inside of a chain rule.
00:08
So we have 7x, but then i'm going to rewrite the square root function as to the one -half power, and inside of that is x squared plus three, and then we have to the six power.
00:23
So it's a chain rule because you have an innermost function, and then you have this inner function of being in here, and then you have the outermost function, which is to that six power.
00:38
So as i go to do this, i just tell students to start with the outermost function first, and that would be moving that six in front and subtract one from that exponent, and you leave that inner function alone, i'm going to go back to that square root of x squared plus three, and then you multiply by the derivative of the inside, which is going to be seven plus, and then when i get to this piece, i need to do the, the chain rule.
01:07
Bring the one half in front, subtract one from that exponent, and you leave that x squared plus three alone, but then you have to multiply by the derivative of x squared plus three, which would be 2x...