What is the derivative of y=sqrt(6-7x) ?

The derivative of y=sqrt(6-7x) is -7/(2sqrt(6-7x))

What is the first derivative of y=sqrt(6-7x) ?

The first derivative of y=sqrt(6-7x) is -7/(2sqrt(6-7x))

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derivative of

y = 6 - 7 x

- \frac{7}{2 6 - 7 x}

Solution steps

\frac{d}{d x} (6 - 7 x)

Apply the chain rule:

\frac{1}{2 6 - 7 x} \frac{d}{d x} (6 - 7 x)

= \frac{1}{2 6 - 7 x} \frac{d}{d x} (6 - 7 x)

\frac{d}{d x} (6 - 7 x) = - 7

= \frac{1}{2 6 - 7 x} (- 7)

Simplify

\frac{1}{2 6 - 7 x} (- 7) : - \frac{7}{2 6 - 7 x}

= - \frac{7}{2 6 - 7 x}

\int_{0}^{2} (3 x + 4) d x

\frac{d}{d t} (6 t^{2})

f (x) = 120 + x^{3}

x^{3}

f (x) = \frac{4 x ^{3} - 4}{x ^{3} - 8}

What is the derivative of y=sqrt(6-7x) ?
The derivative of y=sqrt(6-7x) is -7/(2sqrt(6-7x))
What is the first derivative of y=sqrt(6-7x) ?
The first derivative of y=sqrt(6-7x) is -7/(2sqrt(6-7x))