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

The answer to implicit (dy)/(dx),y=x^4 is (dy)/(dx)=4x^3

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

implicit derivative

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

\frac{d y}{d x} = 4 x^{3}

Solution steps

y = x^{4}

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = 4 x^{3}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = 4 x^{3}

\frac{d y}{d x} = 4 x^{3}

ln (x + 5 + x^{2})

\frac{d}{d x} (\frac{- 4}{x})

x (7 x + 1)^{\frac{1}{3}}

5 x^{3} - 5 x

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

What is implicit (dy)/(dx),y=x^4 ?
The answer to implicit (dy)/(dx),y=x^4 is (dy)/(dx)=4x^3