Implicit Differentiation Begin

Match each equation with the best method used initially to find the first derivative.

FORMS OF EQUATIONS

$$x^2+y^2=144\ \rightarrow$$ ​ (a)   form

$$y=x^2+144\ \rightarrow$$ ​ (b)   form

IMPLICIT FORM

$$x^2+y^2=144$$

Graph $$\rightarrow$$ word

Submit word (small letters)

(a)  

EXPLICIT FORM

$$y=\sqrt[\ ]{144-x^2}$$

Graph $$\rightarrow$$ word

Submit word (small letters)

(a)  

Match each implicit form with its corresponding explicit form.

IMPLICIT FORM

$$x^2+y^2=121$$

EXPLICIT FORM

$$y=\pm\ EXP$$

Submit $$EXP$$

EXPLICIT FORM

$$y=\pm\ \sqrt[\ ]{36-x^2}$$

IMPLICIT FORM

$$EQUATION$$

Submit $$EQUATION$$

IMPLICIT TO EXPLICIT FORM

(slide 1 of 3)

$$x^2+y^2=144$$

$$ALG\ \ y^2=EXP1$$ (no radical)

$$ALG\ \ y=\pm\ EXP2$$ (radical)

$$RW\ \ y=\pm\ EXP3$$ (no radical)

Submit $$EXP1$$