Better Students Ask More Questions.
Find the derivative of function. `y=x(6^(-2x))`
1 Answer | add yours
High School Teacher
To take the derivative of y, apply product rule which is `(u*v)=v*u'+u*v'` .
`u=x` and `v=36^(-x)`
Then, take the derivative of u and v.
To get v', apply the derivative of exponential functions which is `(a^u)=a^u*lna*u'` .
And, plug-in u , v, u' and v' to the formula of product rule.
Express 36 with positive exponent.
Hence, the derivative of the given function is `y'=1/36^x-(ln36)/36^x` .
Posted by mjripalda on February 21, 2013 at 11:10 PM (Answer #1)
Join to answer this question
Join a community of thousands of dedicated teachers and students.