What is the derivative of f(x)=sqrt(3x+7) ?

The derivative of f(x)=sqrt(3x+7) is 3/(2sqrt(3x+7))

What is the first derivative of f(x)=sqrt(3x+7) ?

The first derivative of f(x)=sqrt(3x+7) is 3/(2sqrt(3x+7))

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derivative of

f (x) = 3 x + 7

\frac{3}{2 3 x + 7}

Solution steps

\frac{d}{d x} (3 x + 7)

Apply the chain rule:

\frac{1}{2 3 x + 7} \frac{d}{d x} (3 x + 7)

= \frac{1}{2 3 x + 7} \frac{d}{d x} (3 x + 7)

\frac{d}{d x} (3 x + 7) = 3

= \frac{1}{2 3 x + 7} \cdot 3

Simplify

\frac{1}{2 3 x + 7} \cdot 3 : \frac{3}{2 3 x + 7}

= \frac{3}{2 3 x + 7}

\int 2 x^{2} + 4 d x

y = x^{2} - 4 x, y = 3 x

f (x) = \frac{20000}{2 + 123 e ^{- 0.1 (x)}}

x \to 7 + lim (x)

\int_{- 2}^{3} \frac{13}{x ^{4}} d x

What is the derivative of f(x)=sqrt(3x+7) ?
The derivative of f(x)=sqrt(3x+7) is 3/(2sqrt(3x+7))
What is the first derivative of f(x)=sqrt(3x+7) ?
The first derivative of f(x)=sqrt(3x+7) is 3/(2sqrt(3x+7))