What is the derivative of 1-xsqrt(x) ?

The derivative of 1-xsqrt(x) is -(3sqrt(x))/2

What is the first derivative of 1-xsqrt(x) ?

The first derivative of 1-xsqrt(x) is -(3sqrt(x))/2

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derivative of

1 - x x

- \frac{3 x}{2}

Solution steps

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

Simplify

1 - x x : 1 - x^{\frac{3}{2}}

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (1) = 0

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

= 0 - \frac{3 x}{2}

Simplify

= - \frac{3 x}{2}

\frac{\partial}{\partial z} (y cos (z))

3 x + 3 x

\frac{y ^{2}}{2} = x, x = 2 y

\int 5 (9 x - 4)^{4} d x

\int (1 0^{x} - \frac{1}{x}) d x

What is the derivative of 1-xsqrt(x) ?
The derivative of 1-xsqrt(x) is -(3sqrt(x))/2
What is the first derivative of 1-xsqrt(x) ?
The first derivative of 1-xsqrt(x) is -(3sqrt(x))/2