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

The derivative of 7x-6sqrt(x) is 7-3/(sqrt(x))

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

The first derivative of 7x-6sqrt(x) is 7-3/(sqrt(x))

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derivative of

7 x - 6 x

7 - \frac{3}{x}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (6 x) = \frac{3}{x}

= 7 - \frac{3}{x}

What is the derivative of 7x-6sqrt(x) ?
The derivative of 7x-6sqrt(x) is 7-3/(sqrt(x))
What is the first derivative of 7x-6sqrt(x) ?
The first derivative of 7x-6sqrt(x) is 7-3/(sqrt(x))