What is the derivative of f(x)=sqrt(5x+4) ?

The derivative of f(x)=sqrt(5x+4) is 5/(2sqrt(5x+4))

What is the first derivative of f(x)=sqrt(5x+4) ?

The first derivative of f(x)=sqrt(5x+4) is 5/(2sqrt(5x+4))

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derivative of

f (x) = 5 x + 4

\frac{5}{2 5 x + 4}

Solution steps

\frac{d}{d x} (5 x + 4)

Apply the chain rule:

\frac{1}{2 5 x + 4} \frac{d}{d x} (5 x + 4)

= \frac{1}{2 5 x + 4} \frac{d}{d x} (5 x + 4)

\frac{d}{d x} (5 x + 4) = 5

= \frac{1}{2 5 x + 4} \cdot 5

Simplify

\frac{1}{2 5 x + 4} \cdot 5 : \frac{5}{2 5 x + 4}

= \frac{5}{2 5 x + 4}

n = 1 \sum \infty 5^{n}

\frac{\partial}{\partial x} (y + x)

x \to \infty lim (\frac{1 - 0. 8 ^{x + 1}}{1 - 0.8})

\frac{3}{( s - 3 )}

\frac{\partial}{\partial y} ((x + 2 y^{3})^{\frac{1}{3}})

What is the derivative of f(x)=sqrt(5x+4) ?
The derivative of f(x)=sqrt(5x+4) is 5/(2sqrt(5x+4))
What is the first derivative of f(x)=sqrt(5x+4) ?
The first derivative of f(x)=sqrt(5x+4) is 5/(2sqrt(5x+4))