What is implicit (dy)/(dx),y=x^5+8 ?

The answer to implicit (dy)/(dx),y=x^5+8 is (dy)/(dx)=5x^4

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implicit (dy)/(dx),y=x^5+8

implicit derivative

\frac{d y}{d x}, y = x^{5} + 8

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

Solution steps

y = x^{5} + 8

Treat

y

y (x)

Differentiate both sides:

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

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = 5 x^{4}

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

x \to - 1 lim (2 x + 3)

\int_{- π}^{π} cos (2 x) cos (n x) d x

\int \frac{x}{x ^{2} - 5} d x

7^{x^{4} + x}

\int (sin (t) 1 + cos (t)) d t

What is implicit (dy)/(dx),y=x^5+8 ?
The answer to implicit (dy)/(dx),y=x^5+8 is (dy)/(dx)=5x^4