What is the derivative of y=sqrt(6+5x) ?

The derivative of y=sqrt(6+5x) is 5/(2sqrt(6+5x))

What is the first derivative of y=sqrt(6+5x) ?

The first derivative of y=sqrt(6+5x) is 5/(2sqrt(6+5x))

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derivative of

y = 6 + 5 x

\frac{5}{2 6 + 5 x}

Solution steps

\frac{d}{d x} (6 + 5 x)

Apply the chain rule:

\frac{1}{2 6 + 5 x} \frac{d}{d x} (6 + 5 x)

= \frac{1}{2 6 + 5 x} \frac{d}{d x} (6 + 5 x)

\frac{d}{d x} (6 + 5 x) = 5

= \frac{1}{2 6 + 5 x} \cdot 5

Simplify

\frac{1}{2 6 + 5 x} \cdot 5 : \frac{5}{2 6 + 5 x}

= \frac{5}{2 6 + 5 x}

x \to 8 lim (x^{2})

\frac{d}{d x} (\frac{cos ( x )}{csc ( x )})

\frac{\partial}{\partial x} (8 x^{2} + y^{2})

\frac{\partial}{\partial x} (e^{4 x yz - 7})

y = 3 ln (x), y = 0, x = 2 e

What is the derivative of y=sqrt(6+5x) ?
The derivative of y=sqrt(6+5x) is 5/(2sqrt(6+5x))
What is the first derivative of y=sqrt(6+5x) ?
The first derivative of y=sqrt(6+5x) is 5/(2sqrt(6+5x))