What is the derivative of f(x)=sqrt(2x+3) ?

The derivative of f(x)=sqrt(2x+3) is 1/(sqrt(2x+3))

What is the first derivative of f(x)=sqrt(2x+3) ?

The first derivative of f(x)=sqrt(2x+3) is 1/(sqrt(2x+3))

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derivative of

f (x) = 2 x + 3

\frac{1}{2 x + 3}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int 5 x^{2} - 6 x d x

\frac{d x}{d t} = \frac{6}{t + 4}

\int_{- 1}^{2} (x + 2) - x^{2} d x

\frac{d}{d x} (arccsc (- 7 x^{2}))

x \to 30 lim (\frac{( sin ( x ) )}{x})

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