What is implicit (dy)/(dx),y=7x^{-4} ?

The answer to implicit (dy)/(dx),y=7x^{-4} is (dy)/(dx)=-(28)/(x^5)

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implicit (dy)/(dx),y=7x^{-4}

implicit derivative

\frac{d y}{d x}, y = 7 x^{- 4}

\frac{d y}{d x} = - \frac{28}{x ^{5}}

Solution steps

y = 7 x^{- 4}

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = - \frac{28}{x ^{5}}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{28}{x ^{5}}

\frac{d y}{d x} = - \frac{28}{x ^{5}}

\int 2 x cos (2 x) d x

0.4 e^{- 0.4 t}, 0, 4

\frac{d}{d x} (cos (ln (x^{4})))

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

\frac{d}{d x} (cos^{2} (- 3 x^{2} + 2))

What is implicit (dy)/(dx),y=7x^{-4} ?
The answer to implicit (dy)/(dx),y=7x^{-4} is (dy)/(dx)=-(28)/(x^5)