What is the derivative of-5xsqrt(x) ?

The derivative of-5xsqrt(x) is -(15sqrt(x))/2

What is the first derivative of-5xsqrt(x) ?

The first derivative of-5xsqrt(x) is -(15sqrt(x))/2

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derivative of

- 5 x x

- \frac{15 x}{2}

Solution steps

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

Simplify

- 5 x x : - 5 x^{\frac{3}{2}}

= \frac{d}{d x} (- 5 x^{\frac{3}{2}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 5 \frac{d}{d x} (x^{\frac{3}{2}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - 5 \cdot \frac{3}{2} x^{\frac{3}{2} - 1}

Simplify

- 5 \cdot \frac{3}{2} x^{\frac{3}{2} - 1} : - \frac{15 x}{2}

= - \frac{15 x}{2}

\int - 4 cos (\frac{x}{2}) + 5 d x

(x + 1) y^{^{'}} + (x + 2) y = 2 x e^{- 2}

\int 49 x^{2} + 1764 d x

\int \frac{x \cdot e ^{2 x}}{( 1 + 2 x ) ^{2}} d x

\frac{\partial}{\partial y} (cos (x y^{2}))

What is the derivative of-5xsqrt(x) ?
The derivative of-5xsqrt(x) is -(15sqrt(x))/2
What is the first derivative of-5xsqrt(x) ?
The first derivative of-5xsqrt(x) is -(15sqrt(x))/2