What is the derivative of f(x)=sqrt(3x+5) ?

The derivative of f(x)=sqrt(3x+5) is 3/(2sqrt(3x+5))

What is the first derivative of f(x)=sqrt(3x+5) ?

The first derivative of f(x)=sqrt(3x+5) is 3/(2sqrt(3x+5))

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derivative of

f (x) = 3 x + 5

\frac{3}{2 3 x + 5}

Solution steps

\frac{d}{d x} (3 x + 5)

Apply the chain rule:

\frac{1}{2 3 x + 5} \frac{d}{d x} (3 x + 5)

= \frac{1}{2 3 x + 5} \frac{d}{d x} (3 x + 5)

\frac{d}{d x} (3 x + 5) = 3

= \frac{1}{2 3 x + 5} \cdot 3

Simplify

\frac{1}{2 3 x + 5} \cdot 3 : \frac{3}{2 3 x + 5}

= \frac{3}{2 3 x + 5}

\int cos^{2} (wt - k x) d x

\int \frac{1}{x ^{2} - 4} d x

x \to 0 + lim (lo g_{2} (x))

\int ln (x^{2} - 1) d x

\frac{\partial}{\partial y} (x^{2} ln (3 y - 5))

What is the derivative of f(x)=sqrt(3x+5) ?
The derivative of f(x)=sqrt(3x+5) is 3/(2sqrt(3x+5))
What is the first derivative of f(x)=sqrt(3x+5) ?
The first derivative of f(x)=sqrt(3x+5) is 3/(2sqrt(3x+5))