What is the derivative of x^2+log_{2}(x^2+4) ?

The derivative of x^2+log_{2}(x^2+4) is 2x+(2x)/(ln(2)(x^2+4))

What is the first derivative of x^2+log_{2}(x^2+4) ?

The first derivative of x^2+log_{2}(x^2+4) is 2x+(2x)/(ln(2)(x^2+4))

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\frac{d}{d x} (x^{2} + lo g_{2} (x^{2} + 4))

2 x + \frac{2 x}{ln ( 2 ) ( x ^{2} + 4 )}

Solution steps

\frac{d}{d x} (x^{2} + lo g_{2} (x^{2} + 4))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (lo g_{2} (x^{2} + 4))

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

\frac{d}{d x} (lo g_{2} (x^{2} + 4)) = \frac{2 x}{ln ( 2 ) ( x ^{2} + 4 )}

= 2 x + \frac{2 x}{ln ( 2 ) ( x ^{2} + 4 )}

\frac{d}{d x} (- e^{- x} x)

t^{3} + t

y^{^{'}} = 2 sec^{2} (x) e^{2 y}

\frac{d}{d x} (\frac{x - 5}{x + 5})

y cos (x y) - tan (x) + x cos (x y) y^{^{'}} = 0

What is the derivative of x^2+log_{2}(x^2+4) ?
The derivative of x^2+log_{2}(x^2+4) is 2x+(2x)/(ln(2)(x^2+4))
What is the first derivative of x^2+log_{2}(x^2+4) ?
The first derivative of x^2+log_{2}(x^2+4) is 2x+(2x)/(ln(2)(x^2+4))