What is the derivative of y=sqrt(-8+5x) ?

The derivative of y=sqrt(-8+5x) is 5/(2sqrt(-8+5x))

What is the first derivative of y=sqrt(-8+5x) ?

The first derivative of y=sqrt(-8+5x) is 5/(2sqrt(-8+5x))

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derivative of

y = - 8 + 5 x

\frac{5}{2 - 8 + 5 x}

Solution steps

\frac{d}{d x} (- 8 + 5 x)

Apply the chain rule:

\frac{1}{2 - 8 + 5 x} \frac{d}{d x} (- 8 + 5 x)

= \frac{1}{2 - 8 + 5 x} \frac{d}{d x} (- 8 + 5 x)

\frac{d}{d x} (- 8 + 5 x) = 5

= \frac{1}{2 - 8 + 5 x} \cdot 5

Simplify

\frac{1}{2 - 8 + 5 x} \cdot 5 : \frac{5}{2 - 8 + 5 x}

= \frac{5}{2 - 8 + 5 x}

\int \frac{14}{1 - cos ( 2 x )} d x

\int 6 x^{2} y - 2 x d y

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

\int \frac{e ^{x} ( 1 + x )}{cos ^{2} ( x e ^{x} )} d x

\frac{d}{d x} (\frac{x}{8} - \frac{8}{x})

What is the derivative of y=sqrt(-8+5x) ?
The derivative of y=sqrt(-8+5x) is 5/(2sqrt(-8+5x))
What is the first derivative of y=sqrt(-8+5x) ?
The first derivative of y=sqrt(-8+5x) is 5/(2sqrt(-8+5x))