Find the Derivative - d/d@VAR f(u)=2/( square root of u)

Problem

d()/d(u)2/√(,u)

Solution

1. Rewrite the expression using exponents to make it easier to differentiate.

2/√(,u)=2*u(−1/2)

2. Apply the power rule, which states that d(un)/d(u)=n*u(n−1)

(d(2)*u(−1/2))/d(u)=2⋅(−1/2)*u(−1/2−1)

3. Simplify the coefficient and the exponent.

2⋅(−1/2)=−1

−1/2−1=−3/2

4. Rewrite the result using positive exponents and radical notation.

−u(−3/2)=−1/(u(3/2))

−1/(u(3/2))=−1/√(,u3)

Final Answer

d()/d(u)2/√(,u)=−1/(u√(,u))

Want more problems? Check here!