The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.
<h3>How to find the derivative of a quadratic equation by definition of derivative</h3>
In this question we have a quadratic function, in which we must make use of the definition of derivative to find the expression of its first derivative. Then, the procedure is shown below:
f(x) = x² - 5 Given
f' = [(x + h)² - 5 - x² + 5] / h Definition of derivative
(x² + 2 · x · h + h² - 5 - x² + 5) / h Perfect square trinomial
(2 · x · h + h²) / h Associative, commutative and modulative properties / Existence of additive inverse
2 · x + h Distributive, commutative and associative properties / Definition of division / Existence of multiplicative inverse
2 · x h = 0 / Result
The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.
To learn more on derivatives: brainly.com/question/25324584
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We Can Let "A Number" Be M.
M Divided By 3 Less Than Itself Gives Quotient Of 8/5.
M/(M-3) = 8/5. Lets Solve.
So, What Number Can Have 3 Subtracted From It To Get Five, But Also Be Equal To Eight?
Eight Of Course!!!
So, We Know That The Number Equals 8.
Answer:
A
Step-by-step explanation:
Answer:
17 years.
Step-by-step explanation:
Zanna was born is 1997
Zanna's cousin was born in 1980
1997 - 1980 = 17
Answer:
A
Step-by-step explanation:
the probability should always be the same unless the event is different.