How do you find the derivative of f(x)=5sqrtx?
1 Answer
May 11, 2016
Explanation:
Given,
f(x)=5sqrt(x)
Rewrite the expression using
d/(dx)(5sqrt(x))
Using the multiplication by a constant rule,
=5*d/(dx)(sqrt(x))
Rewrite
=5*d/(dx)(x^(1/2))
Using the power rule,
=5*1/2x^(1/2-1)
Simplify.
=5*1/2x^(-1/2)
=5/2(1/x)^(1/2)
=5/2((1)/(sqrt(x)))
=color(green)(|bar(ul(color(white)(a/a)color(black)(5/(2sqrt(x)))color(white)(a/a)|)))