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2 years ago

Differentiate y=a/x+b with respect to x, when a and b are constant

Mathematics

1 answer:

Basile [38]2 years ago

7 0

Answer:

-a/(x+b)²

Step-by-step explanation:

Given the function y = a/x+b

To differentiate, we will use the quotient rule.

dy/dx = (Vdu/dx-Udv/dx)/V²

Let u = a

v = x+b

Note that differential of a constant is zero

du/dx = 0

dv/dx = 1

Substitute

dy/dx = (x+b)0 - a (1)/(x+b)²

dy/dx = 0 - a/(x+b)²

dy/dx = -a/(x+b)²

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3 years ago

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Vinil7 [7]

<h3>Area of shaded region is 21.5 square centimeter</h3>

Solution:

The area of the shaded region is equal to the area of the square minus the area of the circle

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From given figure in question,

a = 10 cm

$Area\ of\ square = 10^2\\\\Area\ of\ square = 100\ cm^2$

Find the area of circle

The area of the circle is given as:

$Area\ of\ circle = \pi r^2$

Where, "r" is the radius of circle

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$r = \frac{diameter}{2}\\\\r = \frac{10}{2}\\\\r = 5$

Thus,

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2 years ago

You purchase 5 sliders and an order of French fries for $9.25. If fries cost $2, what is the cost of a single slide

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Answer:

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Step-by-step explanation:

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2 years ago

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meriva

Answer:

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Step-by-step explanation:

Given: The x-axis represents the time in hours and the y-axis represents the distance in miles.

The line passes through the points $(2,60)$ and $(4,120)$

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Thus, the rise-over-run value for the relationship represented in the graph is 30.

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3 years ago

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Differentiate y=a/x+b with respect to x, when a and b are constant​

Differentiate y=a/x+b with respect to x, when a and b are constant