Answer:
[tex]\displaystyle f^{(79)}(x) = 0[/tex]
General Formulas and Concepts:
Calculus
Derivatives
Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle f(x) = x^{78}[/tex]
Step 2: Differentiate
Taking the 78th derivative, we would have a constant, following the Basic Power Rule.
∴ taking the 79th derivative would equal 0, since a derivative of a constant is equal to 0.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
