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Popular >

derivative of xsqrt(800-x)

Solution

\frac{d}{d x} (x 800 - x)

Solution

\frac{- 3 x + 1600}{2 800 - x}

Solution steps

\frac{d}{d x} (x 800 - x)

Apply the Product Rule:

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

f = x, g = 800 - x

= \frac{d x}{d x} 800 - x + \frac{d}{d x} (800 - x) x

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

\frac{d}{d x} (800 - x) = - \frac{1}{2 800 - x}

= 1 \cdot 800 - x + (- \frac{1}{2 800 - x}) x

Simplify

1 \cdot 800 - x + (- \frac{1}{2 800 - x}) x : \frac{- 3 x + 1600}{2 800 - x}

= \frac{- 3 x + 1600}{2 800 - x}

Graph

Popular Examples

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\int \frac{( x - 9 )}{( x + 5 ) ( x - 2 )} d x

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\int \frac{x ^{3} - 1}{x ^{2} + 3 x + 2} d x

inverse oflaplace ((s-5))/(s^2+4s+20)inverse laplace

\frac{( s - 5 )}{s ^{2} + 4 s + 20}

24y^{''}+13y^'-7y=0

24 y^{^{''}} + 13 y^{^{'}} - 7 y = 0

integral of 1/((1+y^2)^{3/2)}

\int \frac{1}{( 1 + y ^{2} ) ^{\frac{3}{2}}} d y

Frequently Asked Questions (FAQ)

What is the derivative of xsqrt(800-x) ?
The derivative of xsqrt(800-x) is (-3x+1600)/(2sqrt(800-x))
What is the first derivative of xsqrt(800-x) ?
The first derivative of xsqrt(800-x) is (-3x+1600)/(2sqrt(800-x))