What is implicit (dy)/(dx),y=x^2+1 ?

The answer to implicit (dy)/(dx),y=x^2+1 is (dy)/(dx)=2x

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implicit (dy)/(dx),y=x^2+1

implicit derivative

\frac{d y}{d x}, y = x^{2} + 1

\frac{d y}{d x} = 2 x

Solution steps

y = x^{2} + 1

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = 2 x

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = 2 x

\frac{d y}{d x} = 2 x

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What is implicit (dy)/(dx),y=x^2+1 ?
The answer to implicit (dy)/(dx),y=x^2+1 is (dy)/(dx)=2x