What is the derivative of Insqrt(x) ?

The derivative of Insqrt(x) is (nI)/(2sqrt(x))

What is the first derivative of Insqrt(x) ?

The first derivative of Insqrt(x) is (nI)/(2sqrt(x))

Popular >

\frac{d}{d x} (I n x)

\frac{n I}{2 x}

Solution steps

\frac{d}{d x} (I n x)

Treat

n, I

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= I n \frac{d}{d x} (x)

Apply radical rule:

a = a^{\frac{1}{2}}

= I n \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= I n \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

I n \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{n I}{2 x}

= \frac{n I}{2 x}

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

\int \frac{1}{u ^{2} + u} d u

\frac{( s + 2 )}{s ( s + 4 )}

\frac{d}{d x} (tan (5 x + 5))

\int_{0}^{3} \frac{x}{9 - x ^{2}} d x

What is the derivative of Insqrt(x) ?
The derivative of Insqrt(x) is (nI)/(2sqrt(x))
What is the first derivative of Insqrt(x) ?
The first derivative of Insqrt(x) is (nI)/(2sqrt(x))