Question

Apply the power rule to compute the derivative

Answer 1

`\displaystyle (d)/(dt)[t^(√(11))] = √(11)t^(√(11) - 1)`

General Formulas and Concepts:

Calculus

Differentiation

• Derivatives
• Derivative Notation

Basic Power Rule:

1. f(x) = cxⁿ
2. f’(x) = c·nxⁿ⁻¹

Explanation:

Step 1: Define

Identify

`\displaystyle y = t^(√(11))`

Step 2: Differentiate

1. Basic Power Rule:
   `\displaystyle y' = √(11)t^(√(11) - 1)`

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation