What is the derivative of y=(7+x)^(7+x)^2 ?

[infinite]

1. Take the derivative of

. . . . .\(\displaystyle \large{ y\,=\, (7\, +\, x)^{(7 + x)^2} }\)


:-|

 

[mmm4444bot]

What is the derivative of y = (7+x)^(7+x)^2 ?

What have you tried or thought about, so far?

Do you know how to differentiate y = x^x ?

If you're not sure, check out this tutorial:

http://www.analyzemath.com/calculus/Differentiation/first_derivative.html

 

[infinite]

thanks i'll check that out... i've tried chain rule and power rule but... nope

 

[ksdhart2]

As a note to other helpers here, this exact exercise has also been posted twice on the Askmath subreddit. You can find those threads herehttps://www.reddit.com/r/askmath/comments/71843d/what_is_the_derivative_of_y7x7x2/ and and herehttps://www.reddit.com/r/askmath/comments/71tzka/what_is_the_derivative_of_y7x7x2/. You may find it helpful to peruse these threads and examine the hints given within, to see if they get you thinking in the right direction.