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

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

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

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

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derivative of

f (x) = 3 x + 2

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{d}{d x} (20 (e^{- x} - e^{- 2 x}))

21 e^{t}

\int_{0}^{4} 2 π (y) (3 y + 4 - y^{2}) d y

\int_{0}^{\frac{1}{2}} x cos (π) x d x

\int_{0}^{1.75} 600 x d x

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