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Popular >

derivative of xsqrt(2-x)

Solution

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

Solution

\frac{- 3 x + 4}{2 2 - x}

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = 2 - x

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

\frac{d x}{d x} = 1

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

= 1 \cdot 2 - x + (- \frac{1}{2 2 - x}) x

Simplify

1 \cdot 2 - x + (- \frac{1}{2 2 - x}) x : \frac{- 3 x + 4}{2 2 - x}

= \frac{- 3 x + 4}{2 2 - x}

Popular Examples

integral of e^{5x}cos(3x)

\int e^{5 x} cos (3 x) d x

integral of cos(2x)-sin(x/2)

\int cos (2 x) - sin (\frac{x}{2}) d x

(\partial)/(\partial u)(u^2+v^2)

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

integral of (8x)/(sqrt(1-4x^2))

\int \frac{8 x}{1 - 4 x ^{2}} d x

tangent of f(x)=e^{1+2tan(x)},\at x= pi/4 tangent of

f (x) = e^{1 + 2 t a n (x)}, at x = \frac{π}{4}

Frequently Asked Questions (FAQ)

What is the derivative of xsqrt(2-x) ?
The derivative of xsqrt(2-x) is (-3x+4)/(2sqrt(2-x))
What is the first derivative of xsqrt(2-x) ?
The first derivative of xsqrt(2-x) is (-3x+4)/(2sqrt(2-x))