What is implicit (dy)/(dx),y=x^2+4 ?

The answer to implicit (dy)/(dx),y=x^2+4 is (dy)/(dx)=2x

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implicit (dy)/(dx),y=x^2+4

implicit derivative

\frac{d y}{d x}, y = x^{2} + 4

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

Solution steps

y = x^{2} + 4

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

\frac{d}{d t} (e^{t} sin (2 t))

\frac{d}{d x} (\frac{2}{( x - 2 ) ^{2}})

\int \frac{4 x ^{3} - x ^{2} + 2}{x ^{4} - x ^{3} + x ^{2}} d x

4 x^{2} \frac{d y}{d x} = \frac{d y}{d x} + 4 x e^{- y}

\int_{0}^{1} π (y - y^{4}) d y

What is implicit (dy)/(dx),y=x^2+4 ?
The answer to implicit (dy)/(dx),y=x^2+4 is (dy)/(dx)=2x