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

The answer to implicit (dy)/(dx),y=2x^3 is (dy)/(dx)=6x^2

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

implicit derivative

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

\frac{d y}{d x} = 6 x^{2}

Solution steps

y = 2 x^{3}

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = 6 x^{2}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = 6 x^{2}

\frac{d y}{d x} = 6 x^{2}

\int e^{3 x} sin (4 x) d x

f (x) = \frac{3}{x ^{2}} - \frac{1}{x}

1 + 0.1 e^{- 0.02 t}

x^{2} y^{^{''}} - 2 x y^{^{'}} + 2 y = 4 x^{2}

\frac{2 s + 3}{s ^{2} + 2 s + 5}

What is implicit (dy)/(dx),y=2x^3 ?
The answer to implicit (dy)/(dx),y=2x^3 is (dy)/(dx)=6x^2