What is the derivative of y^2=x where y=1/2

granuliet1u

granuliet1u

Answered question

2022-08-12

What is the derivative of y 2 = x where y = 1 2

Answer & Explanation

Jaydan Gilbert

Jaydan Gilbert

Beginner2022-08-13Added 16 answers

y 2 = x
Differentiating both sides implicitly:
2 y . y = 1
y = 1 2 y
If y=1/2 then:
y = 1 2 × 1 2 = 1
y = 1 graph{(y-sqrt(x))(y-x-1/4)=0 [-2.5, 2.5, -1.25, 1.25]}

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