What is the derivative of sqrt(25+(12-x^2)+x) ?

The derivative of sqrt(25+(12-x^2)+x) is (x-12)/(sqrt(x^2-24x+169))+1

What is the first derivative of sqrt(25+(12-x^2)+x) ?

The first derivative of sqrt(25+(12-x^2)+x) is (x-12)/(sqrt(x^2-24x+169))+1

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\frac{d}{d x} (25 + (12 - x)^{2} + x)

\frac{x - 12}{x ^{2} - 24 x + 169} + 1

Solution steps

\frac{d}{d x} (25 + (12 - x)^{2} + x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (25 + (12 - x)^{2}) + \frac{d x}{d x}

\frac{d}{d x} (25 + (12 - x)^{2}) = \frac{x - 12}{x ^{2} - 24 x + 169}

\frac{d x}{d x} = 1

= \frac{x - 12}{x ^{2} - 24 x + 169} + 1

\int e^{ia x} d x

\int e^{e^{t}} d t

\frac{\partial}{\partial y} (x^{2} y + 3 x y + y^{2})

(\frac{1}{1 - x ^{2}})^{^{'}}

\int \frac{x}{3 x + 8} d x

What is the derivative of sqrt(25+(12-x^2)+x) ?
The derivative of sqrt(25+(12-x^2)+x) is (x-12)/(sqrt(x^2-24x+169))+1
What is the first derivative of sqrt(25+(12-x^2)+x) ?
The first derivative of sqrt(25+(12-x^2)+x) is (x-12)/(sqrt(x^2-24x+169))+1