Derivative of a Polynomial Function

Question

Differentiate the function. 

 

p(r) = r^6 - (2/(5√r)) +r -1

 

Show all your work. 

Answer 1

derivative of r^6 = 6r^5

 

derivative of √r (r^1/2) = 1/2 r^-1/2

 

derivative or r = 1

 

derivative of 1 = 0

 

plug in the values

 

derivative of p(r) = 6r^5 - 2/5(1/2r^-1/2) +1

 

=> 6r⁵ - 5/√r  + 1