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.
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Answer:
8 cubic inches
Step-by-step explanation: I just know
Answer:
24
Step-by-step explanation:
6*8=24
<span>P: y + z = 6
Q: 8y + 7z = 1
A. This makes y = -8Y which will eliminate the "y"'s when the equations are added.
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9514 1404 393
Answer:
Step-by-step explanation:
1 m is 100 cm, so the volume is ...
V = LWH
V = (100 cm)(50 cm)(4 cm) = 20,000 cm³ . . . volume
__
The mass is ...
(20,000 cm³)(2.7 g/cm³) = 54,000 g = 54 kg
The mass of the block is 54 kg.
