What is the derivative of f(x)=sqrt(9-7x) ?

The derivative of f(x)=sqrt(9-7x) is -7/(2sqrt(9-7x))

What is the first derivative of f(x)=sqrt(9-7x) ?

The first derivative of f(x)=sqrt(9-7x) is -7/(2sqrt(9-7x))

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derivative of

f (x) = 9 - 7 x

- \frac{7}{2 9 - 7 x}

Solution steps

\frac{d}{d x} (9 - 7 x)

Apply the chain rule:

\frac{1}{2 9 - 7 x} \frac{d}{d x} (9 - 7 x)

= \frac{1}{2 9 - 7 x} \frac{d}{d x} (9 - 7 x)

\frac{d}{d x} (9 - 7 x) = - 7

= \frac{1}{2 9 - 7 x} (- 7)

Simplify

\frac{1}{2 9 - 7 x} (- 7) : - \frac{7}{2 9 - 7 x}

= - \frac{7}{2 9 - 7 x}

What is the derivative of f(x)=sqrt(9-7x) ?
The derivative of f(x)=sqrt(9-7x) is -7/(2sqrt(9-7x))
What is the first derivative of f(x)=sqrt(9-7x) ?
The first derivative of f(x)=sqrt(9-7x) is -7/(2sqrt(9-7x))