What is the derivative of 3sqrt(x-1) ?

The derivative of 3sqrt(x-1) is 3/(2sqrt(x-1))

What is the first derivative of 3sqrt(x-1) ?

The first derivative of 3sqrt(x-1) is 3/(2sqrt(x-1))

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derivative of

3 x - 1

\frac{3}{2 x - 1}

Solution steps

\frac{d}{d x} (3 x - 1)

Take the constant out:

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

= 3 \frac{d}{d x} (x - 1)

Apply the chain rule:

\frac{1}{2 x - 1} \frac{d}{d x} (x - 1)

= \frac{1}{2 x - 1} \frac{d}{d x} (x - 1)

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

= 3 \cdot \frac{1}{2 x - 1} \cdot 1

Simplify

3 \cdot \frac{1}{2 x - 1} \cdot 1 : \frac{3}{2 x - 1}

= \frac{3}{2 x - 1}

\int + 5 arctan (\frac{1}{x}) d x

\int \frac{sec ^{2} ( x )}{tan ^{6} ( x )} d x

n = 1 \sum \infty \frac{1}{n ^{1.01}}

\int 4 π y (6 + y^{\frac{3}{2}}) d y

y = 7 x^{2} + 3

What is the derivative of 3sqrt(x-1) ?
The derivative of 3sqrt(x-1) is 3/(2sqrt(x-1))
What is the first derivative of 3sqrt(x-1) ?
The first derivative of 3sqrt(x-1) is 3/(2sqrt(x-1))