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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Popular >

\frac{d}{d x} (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{5}{2 x ^{6}}

x \to - 2 lim ((x + 1)^{7} (3 x^{2}))

\int - \frac{x}{y} d x

y^{^{'}} ln (y) + x^{2} y = 0

x = y, x = y^{2}

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