What is the derivative of f(x)=sqrt(4x-3) ?

The derivative of f(x)=sqrt(4x-3) is 2/(sqrt(4x-3))

What is the first derivative of f(x)=sqrt(4x-3) ?

The first derivative of f(x)=sqrt(4x-3) is 2/(sqrt(4x-3))

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derivative of

f (x) = 4 x - 3

\frac{2}{4 x - 3}

Solution steps

\frac{d}{d x} (4 x - 3)

Apply the chain rule:

\frac{1}{2 4 x - 3} \frac{d}{d x} (4 x - 3)

= \frac{1}{2 4 x - 3} \frac{d}{d x} (4 x - 3)

\frac{d}{d x} (4 x - 3) = 4

= \frac{1}{2 4 x - 3} \cdot 4

Simplify

\frac{1}{2 4 x - 3} \cdot 4 : \frac{2}{4 x - 3}

= \frac{2}{4 x - 3}

\int - 2 cos (2 x) d x

x \to \frac{4}{π} lim (cos (x))

\frac{d}{d x} (\frac{1}{8} x^{8} - x^{4})

ln (x^{2} - 4 x)

What is the derivative of f(x)=sqrt(4x-3) ?
The derivative of f(x)=sqrt(4x-3) is 2/(sqrt(4x-3))
What is the first derivative of f(x)=sqrt(4x-3) ?
The first derivative of f(x)=sqrt(4x-3) is 2/(sqrt(4x-3))