Given, f(x) = 4/x
We have to find the derivative of it.
First we have to use property of negative exponents. We know that, 1/a = a⁻¹.
So here, f(x) = 4/x = 4x⁻¹
f'(x) = 4×(-1)×(x)⁽⁻¹⁻¹⁾
= 4×(-1)×(x)⁻²
= (-4)(x)⁻²
= -4/x²
So we have got derivative of f(x) which is f'(x) = -4/x²
Now we have to find the derivative at x = 2. To find the value at x =2, we have to plug in 2 in the place of x.
f'(2) = -4/(2)² = -4/4 = -1
We have got the required answer derivative of f(x) at x =2 is -1
So option B is correct.
Answer:
y = 4/3x + 6
Step-by-step explanation:
y = 4/3x + b
2 = 4/3(-3) + b
2 = -4 + b
6 = b
y = 4/3x + 6
Answer:
Step-by-step explanation:
This equation is in slope intercept form (). This is called slope intercept form for a reason - is always the slope and is always the y-intercept.
We can see that the coefficient on the x-term is and the constant being added to it is 5.
This means 5 is the y-intercept.
Hope this helped!
Answer:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.
Step-by-step explanation:
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Question Clarification:</h2>
I think there is some typing error with your question as searching it on google is showing me it is a "fill the blanks" type of question. I am attaching the actual question for clarification.
<h2>
Answer:</h2>
(1) Number
(2) Proportion
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Step-by-step explanation:</h2>
(1) A Frequency distribution is a tabular or graphical representation of number of observations within a given interval. The size of the intervals are determined by the nature of the data being analyzed and the objectives of the analyst. The intervals are collectively exhaustive and mutually exclusive.
(2) On the other hand, a relative frequency distribution, instead of numbers, shows the proportion (percentage) of the total number of observations that belong to a certain value or a class of values