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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<h3>
Answer: -1</h3>
Explanation:
The given equation is the same as y = -1x^4+4x^2
The leading term is the term with the largest exponent, so it's -1x^4
The leading coefficient is the coefficient of the leading term.
In short, we circle the first coefficient we see. This is assuming that the polynomial is in standard form where the exponents decrease when going from left to right.
Answer:
Interference for regression
Explanation:
Interference for regression is the most suitable statistical test to use to find out if there is any link between number of missed classes and the final test scores.
Because those two variables are related and student test score can be predicted using number of classes that are missed.
Answer:ibbhbh
Step-by-step explanation:
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