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Popular Calculus >

derivative of f(x)=sqrt(6-7x)

Solution

derivative of

f (x) = 6 - 7 x

Solution

- \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}

Graph

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Frequently Asked Questions (FAQ)

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