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}

y^{^{'}} = - \frac{x}{y} + \frac{( x ^{2} + y ^{2} )}{y}, y (0) = - 1

\int cos (x) (3 + 5 sin^{2} (x)) d x

\int \frac{2 x + 1}{( x + 7 ) ^{2}} d x

\frac{d}{d x} (arcsin (x + y))

\frac{d y}{d x} = - \frac{1 + y}{1 + x + y}

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))