Question

how do i find the derivative of this using the chain rule please help somebody\[F(x)=x \sqrt{x ^{2}+1}\]

Answer 1

Okay first throw the x into the sqrt.

Answer 2

F(x) = sqrt(x^4 + x^2)

Answer 3

Or F(x) = (x^4+x^2)^(1/2)

Answer 4

Now take the derivative:
F'(x) = (1/2) * (x^4 + x^2 )^(-1/2) * (4x^3 + 2x)

Answer 5

\[f'(x) = (4x^3+2x)/(2\sqrt(x^4+x^2))\]

Answer 6

can u please explain the part when u threw the x into the square root

Answer 7

okay x is the same as \[\sqrt{x^2}\]

Answer 8

yep

Answer 9

so to put it inside the sqrt, multiply everything inside by x^2

Answer 10

ok great thank u soo much appreciate the help :)

Answer 11

Can you click on Become a fan next to my name, please! Thanks =)

Answer 12

sure

Answer 13

can i ask u another question lol ?