Final answer to the problem
$\frac{1}{2\sqrt{t}}$
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Step-by-step Solution
Learn how to solve power rule for derivatives problems step by step online. Find the derivative d/dt(t^(1/2)) using the power rule. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiplying fractions \frac{1}{2} \times \frac{1}{t^{\left|-\frac{1}{2}\right|}}. Multiplying fractions \frac{1}{2} \times \frac{1}{\sqrt{t}}.
Final answer to the problem
$\frac{1}{2\sqrt{t}}$
