What is implicit (dy)/(dx),y=x^3+2 ?

The answer to implicit (dy)/(dx),y=x^3+2 is (dy)/(dx)=3x^2

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implicit (dy)/(dx),y=x^3+2

implicit derivative

\frac{d y}{d x}, y = x^{3} + 2

\frac{d y}{d x} = 3 x^{2}

Solution steps

y = x^{3} + 2

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = 3 x^{2}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = 3 x^{2}

\frac{d y}{d x} = 3 x^{2}

x \to \infty lim (e^{0})

\frac{d}{d x} (9 x^{2} + 6 x - 2)

\int_{0}^{\infty} \frac{x}{x ^{4} + 1} d x

x \to 1 lim (\frac{x + 2}{1 - x})

\frac{d}{d x} (x^{10} e^{x} + 10)

What is implicit (dy)/(dx),y=x^3+2 ?
The answer to implicit (dy)/(dx),y=x^3+2 is (dy)/(dx)=3x^2