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

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Popular >

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

\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}

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

\frac{\partial}{\partial x} (x^{3} y + x cos (y))

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

\frac{\partial}{\partial x} (cos^{7} (x^{9} y^{8}))

\frac{1}{e ^{x}}

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