Mathematics: F(x) = √(9 - x) f^-1(x) = -x^2 + 9 (change the variables, solve for y) dy/dx f^-1(x) = -2x (power rule) this question seemed a little too easy, so i want to make sure it s right! i took the inverse and then took the derivative. it would have been incorrect to take the derivative and then the inverse, right?

F(x) = √(9 - x) f^-1(x) = -x^2 + 9 (change the

Ответ:

emmie50

14.03.2022

You're correct.

$\bf y=\sqrt{9-x}\implies \stackrel{inverse}{x=\sqrt{9-y}}\implies x^2=9-y\implies y=9-x^2
\\\\\\
\cfrac{dy}{dx}=0-2x^1\implies \cfrac{dy}{dx}=-2x$

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Ответ:

aesthvx44

22.05.2021

Mathematics

5/5

Step-by-step explanation:

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