What is the derivative of x^2sqrt(5-2x) ?

The derivative of x^2sqrt(5-2x) is (-5x^2+10x)/(sqrt(5-2x))

What is the first derivative of x^2sqrt(5-2x) ?

The first derivative of x^2sqrt(5-2x) is (-5x^2+10x)/(sqrt(5-2x))

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\frac{d}{d x} (x^{2} 5 - 2 x)

\frac{- 5 x ^{2} + 10 x}{5 - 2 x}

Solution steps

\frac{d}{d x} (x^{2} 5 - 2 x)

Apply the Product Rule:

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

f = x^{2}, g = 5 - 2 x

= \frac{d}{d x} (x^{2}) 5 - 2 x + \frac{d}{d x} (5 - 2 x) x^{2}

\frac{d}{d x} (x^{2}) = 2 x

\frac{d}{d x} (5 - 2 x) = - \frac{1}{5 - 2 x}

= 2 x 5 - 2 x + (- \frac{1}{5 - 2 x}) x^{2}

Simplify

2 x 5 - 2 x + (- \frac{1}{5 - 2 x}) x^{2} : \frac{- 5 x ^{2} + 10 x}{5 - 2 x}

= \frac{- 5 x ^{2} + 10 x}{5 - 2 x}

\frac{\partial}{\partial v} (cos (v))

\int \frac{1}{2} e^{x} d x

y^{^{'}} - \frac{y}{3} = 0

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

\int \frac{1}{( w ^{2} + 5 ) ^{\frac{3}{2}}} d w

What is the derivative of x^2sqrt(5-2x) ?
The derivative of x^2sqrt(5-2x) is (-5x^2+10x)/(sqrt(5-2x))
What is the first derivative of x^2sqrt(5-2x) ?
The first derivative of x^2sqrt(5-2x) is (-5x^2+10x)/(sqrt(5-2x))