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Popular >

derivative of \sqrt[4]{y-2x}

Solution

\frac{d}{d x} (4 y - 2 x)

Solution

\frac{\frac{d y}{d x} - 2}{4 ( y - 2 x ) ^{\frac{3}{4}}}

Solution steps

\frac{d}{d x} (4 y - 2 x)

Apply the chain rule:

\frac{1}{4 ( y - 2 x ) ^{\frac{3}{4}}} \frac{d}{d x} (y - 2 x)

= \frac{1}{4 ( y - 2 x ) ^{\frac{3}{4}}} \frac{d}{d x} (y - 2 x)

\frac{d}{d x} (y - 2 x) = \frac{d y}{d x} - 2

= \frac{1}{4 ( y - 2 x ) ^{\frac{3}{4}}} (\frac{d y}{d x} - 2)

Simplify

\frac{1}{4 ( y - 2 x ) ^{\frac{3}{4}}} (\frac{d y}{d x} - 2) : \frac{\frac{d y}{d x} - 2}{4 ( y - 2 x ) ^{\frac{3}{4}}}

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

Popular Examples

derivative of f(x)=\sqrt[3]{36x^2+10}derivative of

f (x) = 3 36 x^{2} + 10

(\partial)/(\partial x)(-2x-8y+18)

\frac{\partial}{\partial x} (- 2 x - 8 y + 18)

derivative of cos(arccos(x))

\frac{d}{d x} (cos (arccos (x)))

derivative of 1/2 (x-1/2 sin(2x))

\frac{d}{d x} (\frac{1}{2} (x - \frac{1}{2} sin (2 x)))

derivative of ((x+3)/(x-2))^3 derivative of

(\frac{x + 3}{x - 2})^{3}

Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[4]{y-2x} ?
The derivative of \sqrt[4]{y-2x} is (\frac{dy)/(dx)-2}{4(y-2x)^{3/4}}
What is the first derivative of \sqrt[4]{y-2x} ?
The first derivative of \sqrt[4]{y-2x} is (\frac{dy)/(dx)-2}{4(y-2x)^{3/4}}