SOLUTION: not sure if I have the right area consider the following 6x^3/5+5square root symbol x inside-6/3square root symbol x inside use the power rule for differentiation to find f'(x).

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: not sure if I have the right area consider the following 6x^3/5+5square root symbol x inside-6/3square root symbol x inside use the power rule for differentiation to find f'(x).      Log On


   

Question 200331: not sure if I have the right area
consider the following
6x^3/5+5square root symbol x inside-6/3square root symbol x inside
use the power rule for differentiation to find f'(x). Give your answer using the form below where B>D>F
f'(x)=Ax^B+Cx^D+Ex^F
can someone help please
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


There isn't a 'right' area to put this one. This is an elementary calculus problem.



Change the radicals to fractional exponents:



Simplify the third term by removing the common factor of 3 from numerator and denominator and moving the variable to the numerator:



Now, since the derivative of the sum is the sum of the derivatives, you can apply the Power Rule to each of the terms separately.

The Power Rule:



So:




Which is already the proper order of terms because

John