How do you find the derivative of f(x)=6sqrtx+5cosx? Calculus Basic Differentiation Rules Power Rule 1 Answer bp Feb 16, 2017 3/sqrtx -5sin x Explanation: f'(x) = d/dx (6sqrtx) + d/dx (5 cos x) =6(1/2 1/sqrt x) -5 sin x =3/sqrtx -5sin x Answer link Related questions How do you find the derivative of a polynomial? How do you find the derivative of y =1/sqrt(x)? How do you find the derivative of y =4/sqrt(x)? How do you find the derivative of y =sqrt(2x)? How do you find the derivative of y =sqrt(3x)? How do you find the derivative of y =sqrt(x)? How do you find the derivative of y =sqrt(x) using the definition of derivative? How do you find the derivative of y =sqrt(3x+1)? How do you find the derivative of y =sqrt(9-x)? How do you find the derivative of y =sqrt(x-1)? See all questions in Power Rule Impact of this question 1892 views around the world You can reuse this answer Creative Commons License