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

The derivative of f(x)=sqrt(4x) is 1/(sqrt(x))

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

The first derivative of f(x)=sqrt(4x) is 1/(sqrt(x))

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derivative of

f (x) = 4 x

\frac{1}{x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{1}{x}

\frac{d}{d x} (3 ln (x))

\int 4 sec^{3} (x) d x

\int \frac{3 t}{1 - 9 t ^{4}} d t

\int 3 cos (3 x) d x

t an g e n t f (x) = 5 e^{x} + 7 x, at x = 0

What is the derivative of f(x)=sqrt(4x) ?
The derivative of f(x)=sqrt(4x) is 1/(sqrt(x))
What is the first derivative of f(x)=sqrt(4x) ?
The first derivative of f(x)=sqrt(4x) is 1/(sqrt(x))