What is the derivative of #5(sqrt(x))#?

1 Answer
Jim G.
Mar 8, 2017

#5/(2sqrtx)#

Explanation:

Express the function in exponent form and differentiate using
#"the "color(blue)"power rule"#

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(d/dx(ax^n)=nax^(n-1))color(white)(2/2)|)))#

#rArr5sqrtx=5x^(1/2)#

#rArrd/dx(5x^(1/2))#

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

#=5/(2sqrtx)#

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