What is implicit (dy)/(dx),y=7x^8 ?

The answer to implicit (dy)/(dx),y=7x^8 is (dy)/(dx)=56x^7

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implicit (dy)/(dx),y=7x^8

implicit derivative

\frac{d y}{d x}, y = 7 x^{8}

\frac{d y}{d x} = 56 x^{7}

Solution steps

y = 7 x^{8}

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = 56 x^{7}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = 56 x^{7}

\frac{d y}{d x} = 56 x^{7}

\int 3 x - 4 x d x

x \to 3 - lim (\frac{2 x}{x - 3})

x \to 3 lim (lo g_{5} (x))

\frac{d}{d x} (x + y)

sin (t)

What is implicit (dy)/(dx),y=7x^8 ?
The answer to implicit (dy)/(dx),y=7x^8 is (dy)/(dx)=56x^7