What is the derivative of sqrt(5x)?

1 Answer
Jul 12, 2016

=5/(2sqrt(5x))

or

sqrt5/(2sqrt(x))

Explanation:

sqrt(5x)=(5x)^(1/2)

d/dx(ax)^n=n*(ax)^(n-1)*a

derivative of (5x)^(1/2)=1/2*(5x)^(1/2-1)*5

=5/2*(5x)^(-1/2)*

=5/2*1/sqrt(5x)

=5/(2sqrt(5x))

or

sqrt5/(2sqrt(x))