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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\frac{d}{d x} (sin (x) ln (7 x))

\int (3 u^{5} - 2 u^{3}) d u

f (x) = x + 3, 0, 5

x \to \infty lim (\frac{x ^{100} + \frac{1}{x ^{3}}}{π - x ^{97}})

\frac{\partial}{\partial x} (e^{x y z^{2} + z})

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