6. Jenny needs to build a box that has a square base and a volume of 900 cm°. The height of the box is related to the length of
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Hello,
Let's assume k the ratio.
Let's assume k the ratio.
The value of the square root function after differentiation is .
The given equation is :
x³√4y = 5
Now we will use implicit differentiation
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
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