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:
100= 10+ 16t
Step-by-step explanation:
If beginning at 10 percent you initially are only in need for 90% charge. Earning 16% every thirty minutes you can initially do x4 for two hours on the charger and know you aren't at 100 yet. (16x4)+10= 64+10= 74. 100-74= 26. You need one more hour (total of 6 half hours) on the charger.
Another way of doing it could be 16÷90 and getting 5.blahblahblah and rounding up.
Answer:
Step-by-step explanation:
The real part does not have i as a multiplier. It is 23.3.
The imaginary part* is the coefficient of i: 44.
_____
* There is some disagreement as to whether the imaginary part includes i or not. One source says the imaginary part is the part that has i as a factor (44i). Another source says the imaginary part is the real number that multiplies i (44). Above, we have used the latter definition. Please consult your curriculum materials for the definition you should use.
Answer:
"The specific heat capacity, c, is the heat energy that is needed to raise the temperature of a specific mass of the substance, namely 1 kg, through 1 degree celsius. Specific heat capacity is measured in joules per kilogram degree celsius (J/kg °C)."
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
x=
x=5