What is the derivative of y=x^2-2x-24sqrt(x) ?

The derivative of y=x^2-2x-24sqrt(x) is 2x-2-(12)/(sqrt(x))

What is the first derivative of y=x^2-2x-24sqrt(x) ?

The first derivative of y=x^2-2x-24sqrt(x) is 2x-2-(12)/(sqrt(x))

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derivative of

y = x^{2} - 2 x - 24 x

2 x - 2 - \frac{12}{x}

Solution steps

\frac{d}{d x} (x^{2} - 2 x - 24 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2}) - \frac{d}{d x} (2 x) - \frac{d}{d x} (24 x)

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

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

\frac{d}{d x} (24 x) = \frac{12}{x}

= 2 x - 2 - \frac{12}{x}

What is the derivative of y=x^2-2x-24sqrt(x) ?
The derivative of y=x^2-2x-24sqrt(x) is 2x-2-(12)/(sqrt(x))
What is the first derivative of y=x^2-2x-24sqrt(x) ?
The first derivative of y=x^2-2x-24sqrt(x) is 2x-2-(12)/(sqrt(x))