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Popular >

derivative of 1+x^{3/2}

Solution

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

Solution

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

Solution steps

\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 ^{\frac{1}{2}}}{2}

= 0 + \frac{3 x ^{\frac{1}{2}}}{2}

Simplify

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

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\int_{- \infty}^{6} r \cdot e^{\frac{r}{3}} d r

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Frequently Asked Questions (FAQ)

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