What is the derivative of f(x)=sqrt(7x)-sqrt(2x) ?

The derivative of f(x)=sqrt(7x)-sqrt(2x) is (sqrt(7))/(2sqrt(x))-1/(sqrt(2)\sqrt{x)}

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

The first derivative of f(x)=sqrt(7x)-sqrt(2x) is (sqrt(7))/(2sqrt(x))-1/(sqrt(2)\sqrt{x)}

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derivative of

f (x) = 7 x - 2 x

\frac{7}{2 x} - \frac{1}{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (7 x) = \frac{7}{2 x}

\frac{d}{d x} (2 x) = \frac{1}{2 x}

= \frac{7}{2 x} - \frac{1}{2 x}

What is the derivative of f(x)=sqrt(7x)-sqrt(2x) ?
The derivative of f(x)=sqrt(7x)-sqrt(2x) is (sqrt(7))/(2sqrt(x))-1/(sqrt(2)\sqrt{x)}
What is the first derivative of f(x)=sqrt(7x)-sqrt(2x) ?
The first derivative of f(x)=sqrt(7x)-sqrt(2x) is (sqrt(7))/(2sqrt(x))-1/(sqrt(2)\sqrt{x)}