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Popular >

implicit y^5=x^6

Solution

implicit derivative

y^{5} = x^{6}

Solution

\frac{d y}{d x} = \frac{6 x ^{5}}{5 y ^{4}}

Solution steps

y^{5} = x^{6}

Treat

y

as

y (x)

Differentiate both sides:

5 y^{4} \frac{d y}{d x} = 6 x^{5}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{6 x ^{5}}{5 y ^{4}}

\frac{d y}{d x} = \frac{6 x ^{5}}{5 y ^{4}}

Popular Examples

derivative of (-0.4/(sqrt(5+5x)))

\frac{d}{d x} (\frac{- 0.4}{5 + 5 x})

(dy)/(dx)+0.1y=10

\frac{d y}{d x} + 0.1 y = 10

integral from 1 to 2 of (3^{ln(x)})/x

\int_{1}^{2} \frac{3 ^{l n (x)}}{x} d x

integral of 2^{3x}

\int 2^{3 x} d x

limit as x approaches 0 of (1+8x)^{5/x}

x \to 0 lim ((1 + 8 x)^{\frac{5}{x}})

Frequently Asked Questions (FAQ)

What is implicit y^5=x^6 ?
The answer to implicit y^5=x^6 is (dy)/(dx)=(6x^5)/(5y^4)