Question

what is the derivative of the square root of 6x+10

Answer 1

\[\huge (6x+10)^{1/2} = \color{green}{ \frac{1}{2}(6x+10)*6}\]

Answer 2

\[\huge \color{green}{ dx = 3*(6x+10)^{-1/2}}\]

Answer 3

chain rule

Answer 4

thanks do you happen to know what the derivative of e^ln(x) is as well?

Answer 5

chain rule again

Answer 6

so e^x is one functions and ln(x) is another?

Answer 7

not quite
you can make it easy by eliminating e^ln
since e raise to natural log = 1
so
e^ln(x) would equal to x
now find the derivative of x

Answer 8

thanks

Answer 9

no problem