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carlosleblanc26
14.07.2020 •
Mathematics
Check that your solutions to part (a) and (b) are consistent by substituting the expression for y into your solution for part (a). 9x^2 - y^2 = 1
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Ответ:
Step-by-step explanation:
The question is incomplete. Find the complete question in the attached file.
a) Given the expression 9x^2 - y^2 = 1
Differentiating implicitly will give;
We can then make dy/dx the subject of the formula as shown;
b) In order to solve the question explicitly, we will first have to make x the subject of the formula before differentiating.
Using chain rule to solve the equation;
let;
du/dx = 18x
dy/du =![1/2u^{-1/2}](/tpl/images/0705/9311/5dcbf.png)
dy/dx = dy/du * du/dx
dy/dx =![1/2u^{-1/2} * 18x](/tpl/images/0705/9311/685d8.png)
c) In order to confrim that solutions to part (a) and (b) are consistent, we will substitute
into the answer in (a) as shown;
From (a)![\frac{dy}{dx} = \frac{9x}{y} \\](/tpl/images/0705/9311/0017d.png)
This shows that they are consistent
Ответ: