What is implicit (dy)/(dx),(2x+3)^4=3y^4 ?

The answer to implicit (dy)/(dx),(2x+3)^4=3y^4 is (dy)/(dx)=(2(2x+3)^3)/(3y^3)

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implicit (dy)/(dx),(2x+3)^4=3y^4

implicit derivative

\frac{d y}{d x}, (2 x + 3)^{4} = 3 y^{4}

\frac{d y}{d x} = \frac{2 ( 2 x + 3 ) ^{3}}{3 y ^{3}}

Solution steps

(2 x + 3)^{4} = 3 y^{4}

Treat

y

y (x)

Differentiate both sides:

8 (2 x + 3)^{3} = 12 y^{3} \frac{d y}{d x}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{2 ( 2 x + 3 ) ^{3}}{3 y ^{3}}

\frac{d y}{d x} = \frac{2 ( 2 x + 3 ) ^{3}}{3 y ^{3}}

f (x) = 5 x^{2} - 2 x + 5

cos (x^{2})

\frac{\partial}{\partial u} (u^{2} + v^{2} - 4)

\int x \cdot (x^{2} - 3) d x

y = x sin (\frac{1}{x})

What is implicit (dy)/(dx),(2x+3)^4=3y^4 ?
The answer to implicit (dy)/(dx),(2x+3)^4=3y^4 is (dy)/(dx)=(2(2x+3)^3)/(3y^3)