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

The answer to implicit (dy)/(dx),y^4=x^7 is (dy)/(dx)=(7x^6)/(4y^3)

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

implicit derivative

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

\frac{d y}{d x} = \frac{7 x ^{6}}{4 y ^{3}}

Solution steps

y^{4} = x^{7}

Treat

y

y (x)

Differentiate both sides:

4 y^{3} \frac{d y}{d x} = 7 x^{6}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{7 x ^{6}}{4 y ^{3}}

\frac{d y}{d x} = \frac{7 x ^{6}}{4 y ^{3}}

sec^{2} (\frac{π}{4}) (\frac{π}{5}) = \frac{1}{4} \frac{d x}{d t}

x \to 6 + lim (6 - x)

\frac{\partial}{\partial x} ((x^{2} + y^{2})^{\frac{4}{5}})

4 x^{2} sin (x) tan (x)

\int_{- 1}^{1} x^{2} - x^{3} d x

What is implicit (dy)/(dx),y^4=x^7 ?
The answer to implicit (dy)/(dx),y^4=x^7 is (dy)/(dx)=(7x^6)/(4y^3)