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

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

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

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

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

2 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 0 + 2 x

Simplify

= 2 x

x \to 1 lim (\frac{1 + x}{1 - x ^{2}})

\int_{0}^{- \frac{π}{6}} x cos (3 x) d x

y = 8 x + 7

t \to 1 lim (t + 8)

\frac{\partial}{\partial x} (4 \cdot e^{x} - 2 \cdot x \cdot e^{y})