What is the derivative of-3x^{3/2}-1 ?

The derivative of-3x^{3/2}-1 is -(9x^{1/2})/2

What is the first derivative of-3x^{3/2}-1 ?

The first derivative of-3x^{3/2}-1 is -(9x^{1/2})/2

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derivative of

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

- \frac{9 x ^{\frac{1}{2}}}{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (3 x^{\frac{3}{2}}) = \frac{9 x ^{\frac{1}{2}}}{2}

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

= - \frac{9 x ^{\frac{1}{2}}}{2} - 0

Simplify

= - \frac{9 x ^{\frac{1}{2}}}{2}

f (x) = \frac{9}{x}

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

y^{^{'}} = t - y

x cos (x), - \frac{π}{2}, \frac{π}{2}

\frac{\partial}{\partial x} (- cos (x) + x cos (y))

What is the derivative of-3x^{3/2}-1 ?
The derivative of-3x^{3/2}-1 is -(9x^{1/2})/2
What is the first derivative of-3x^{3/2}-1 ?
The first derivative of-3x^{3/2}-1 is -(9x^{1/2})/2