How do you find the derivative of the function #R=3W^(2*pi)# at #W=7#?
1 Answer
Feb 13, 2018
# [(dR)/(dW)]_(W=7) = (6pi)/7 * 7^(2pi#
Explanation:
We have:
# R=3W^(2pi) #
If we differentiate
# (dR)/(dW) = 3(2pi)W^(2pi-1) #
# \ \ \ \ \ \ \ = 6pi \ W^(2pi-1) #
So when
# [(dR)/(dW)]_(W=7) = 6pi (7^(2pi-1)) #
# \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = (6pi)/7 * 7^(2pi#