What is implicit (dy)/(dx),y=-4x^5 ?

The answer to implicit (dy)/(dx),y=-4x^5 is (dy)/(dx)=-20x^4

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implicit (dy)/(dx),y=-4x^5

implicit derivative

\frac{d y}{d x}, y = - 4 x^{5}

\frac{d y}{d x} = - 20 x^{4}

Solution steps

y = - 4 x^{5}

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = - 20 x^{4}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - 20 x^{4}

\frac{d y}{d x} = - 20 x^{4}

d er i v a t i v e y = \frac{x - 4}{x + 4}

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\int \frac{2 x ^{3} + 6 x + 3}{( x + 2 ) ^{2} ( x ^{2} + 1 )} d x

What is implicit (dy)/(dx),y=-4x^5 ?
The answer to implicit (dy)/(dx),y=-4x^5 is (dy)/(dx)=-20x^4