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Popular >

implicit xy+4y=10

Solution

implicit derivative

x y + 4 y = 10

Solution

\frac{d y}{d x} = - \frac{y}{x + 4}

Solution steps

x y + 4 y = 10

Treat

y

as

y (x)

Differentiate both sides:

y + x \frac{d y}{d x} + 4 \frac{d y}{d x} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{y}{x + 4}

\frac{d y}{d x} = - \frac{y}{x + 4}

Popular Examples

limit as x approaches 2 of (5x^3)/(x+3)

x \to 2 lim (\frac{5 x ^{3}}{x + 3})

integral of (1/((x+1)^2))

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

(\partial)/(\partial y)(xe^{yz})

\frac{\partial}{\partial y} (x e^{yz})

integral of 1/(4sec(y))

\int \frac{1}{4 sec ( y )} d y

(dy}{dx}=\frac{xsqrt(x^2-1))/y

\frac{d y}{d x} = \frac{x x ^{2} - 1}{y}

Frequently Asked Questions (FAQ)

What is implicit xy+4y=10 ?
The answer to implicit xy+4y=10 is (dy)/(dx)=-y/(x+4)