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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Formula = 4/3 x pi x r^3
4/3 x 3.14 x 7^3 = 1436.03
answer: a. 1436.03 cubic units
Answer:
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Step-by-step explanation:
Corresponding angle, both in third digit, others are in different digits.
PLS GIVE BRAINLIEST
Answer:
the first one is: 351-400
the second one is: 651-700
Step-by-step explanation:
Hope it helped
Answer:
Step-by-step explanation:
suppose that O has coordinates (0,0),and the points P and Q have coordinates that are whole numbers between 0 and 2, inclusive. One example of a triangle with O,P, and Q as vertices is shown below . how many such triangle are right triangle ?
