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Popular >

derivative of 4+xsqrt(x)

Solution

\frac{d}{d x} (4 + x x)

Solution

\frac{3 x}{2}

Solution steps

\frac{d}{d x} (4 + x x)

Simplify

4 + x x : 4 + x^{\frac{3}{2}}

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (4) = 0

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

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

Simplify

= \frac{3 x}{2}

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Frequently Asked Questions (FAQ)

What is the derivative of 4+xsqrt(x) ?
The derivative of 4+xsqrt(x) is (3sqrt(x))/2
What is the first derivative of 4+xsqrt(x) ?
The first derivative of 4+xsqrt(x) is (3sqrt(x))/2