What is the derivative of x^2+(p-2*x+2(8-p)) ?

The derivative of x^2+(p-2*x+2(8-p)) is 2x+x(dp)/(dx)+p-2-2(dp)/(dx)

What is the first derivative of x^2+(p-2*x+2(8-p)) ?

The first derivative of x^2+(p-2*x+2(8-p)) is 2x+x(dp)/(dx)+p-2-2(dp)/(dx)

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\frac{d}{d x} (x^{2} + (p - 2) \cdot x + 2 (8 - p))

2 x + x \frac{d p}{d x} + p - 2 - 2 \frac{d p}{d x}

Solution steps

\frac{d}{d x} (x^{2} + (p - 2) x + 2 (8 - p))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} ((p - 2) x) + \frac{d}{d x} (2 (8 - p))

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

\frac{d}{d x} ((p - 2) x) = x \frac{d p}{d x} + p - 2

\frac{d}{d x} (2 (8 - p)) = - 2 \frac{d p}{d x}

= 2 x + x \frac{d p}{d x} + p - 2 - 2 \frac{d p}{d x}

\frac{1}{arctan ( 2 x + 1 )}

((sin (x))^{x})^{2}

2 x^{3} - 3

\frac{1}{2 x}

3 ln (e^{x})

What is the derivative of x^2+(p-2*x+2(8-p)) ?
The derivative of x^2+(p-2*x+2(8-p)) is 2x+x(dp)/(dx)+p-2-2(dp)/(dx)
What is the first derivative of x^2+(p-2*x+2(8-p)) ?
The first derivative of x^2+(p-2*x+2(8-p)) is 2x+x(dp)/(dx)+p-2-2(dp)/(dx)