Answer: The correct answer is x^2=-4(y-1)
Step-by-step explanation:
Just took the test
Answer:
12%
Step-by-step explanation:
well when you get 72/6 and to make it into a easier full number/ (not a fraction) you get 12 then you put the % behind it and now you have 12%
20 is the lowest of the upper 3 numbers, so the missing number must be 19 when averaged with 20. That is, the missing number must be ...
2*19 -20 = 18
The value of the square root function after differentiation is
.
The given equation is :
x³√4y = 5
Now we will use implicit differentiation
![\implies3x^2\sqrt{4y} \ \ dx +x^3\times 2(-\frac{1}{\sqrt y}) =0\\\\\implies6x^2\sqrt{y}\ dx-2\frac{x^3}{\sqrt y}\ dy=0\\\\\implies \frac{dy}{dx}= \frac{3}{x}](https://tex.z-dn.net/?f=%5Cimplies3x%5E2%5Csqrt%7B4y%7D%20%5C%20%20%5C%20dx%20%2Bx%5E3%5Ctimes%202%28-%5Cfrac%7B1%7D%7B%5Csqrt%20y%7D%29%20%3D0%5C%5C%5C%5C%5Cimplies6x%5E2%5Csqrt%7By%7D%5C%20dx-2%5Cfrac%7Bx%5E3%7D%7B%5Csqrt%20y%7D%5C%20dy%3D0%5C%5C%5C%5C%5Cimplies%20%5Cfrac%7Bdy%7D%7Bdx%7D%3D%20%5Cfrac%7B3%7D%7Bx%7D)
In mathematics, the derivative of a simple function that resembles a real variable measures how sensitive the function's value (or output value) is to changes in the underlying assumption (input value). The derivative is the fundamental tool in calculus.
The value of y from the equation is :
y = 25/4 x⁻³
now if we differentiate this function we get the same result.
y'=3/x
Hence we can see that the value of both the solution are equal.
A measure of how quickly an object's position changes over time is its velocity, which is the derivative of that object's point with regard to time.
Hence the required solution of the differentiation is ![\frac{dy}{dx}= \frac{3}{x}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D%20%5Cfrac%7B3%7D%7Bx%7D)
to learn more about square root visit:
brainly.com/question/15208820
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