What is the derivative of x^2+a^2 ?

The derivative of x^2+a^2 is 2x

What is the first derivative of x^2+a^2 ?

The first derivative of x^2+a^2 is 2x

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\frac{d}{d x} (x^{2} + a^{2})

2 x

Solution steps

\frac{d}{d x} (x^{2} + a^{2})

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (a^{2}) = 0

= 2 x + 0

Simplify

= 2 x

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\frac{\partial}{\partial x} (e^{x e^{y}})

f^{^{'}} (x) = 7 e^{- e} - 5 e^{- 7 x}

x \to 0 + lim (\frac{3}{1 + e ^{\frac{1}{x}}})

\int \frac{4}{1 + 9 x ^{2}} d x