Question #f889b

1 Answer
Sep 15, 2017

We are trying to differentiate:
4^(sqrt(21^3-2x+1/x)). First thing to do is use the chain rule, and we get:

4^(sqrt(21^3-2x+1/x))*ln(4)*d/dx(sqrt(21^3-2x+1/x)).
Using the chain rule one more time...

ln(4)*4^(sqrt(21^3-2x+1/x))(d/dx(21^3-2x+1/x))/(2sqrt(21^3-2x+1/x))

The derivative of a constant is 0, the derivative of -2x is -2 and the derivative of 1/x is -1/x^2.

ln(4)*4^(sqrt(21^3-2x+1/x))(-2-1/x^2)/(2sqrt(21^3-2x+1/x))

And you should be done!

P.S. I may have gotten something wrong, but this equation ended up being massive so it was kinda inevitable.