What is the derivative of log_{2}(x^2+1-2^3) ?

The derivative of log_{2}(x^2+1-2^3) is (2x)/(ln(2)(x^2+1))

What is the first derivative of log_{2}(x^2+1-2^3) ?

The first derivative of log_{2}(x^2+1-2^3) is (2x)/(ln(2)(x^2+1))

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\frac{d}{d x} (lo g_{2} (x^{2} + 1) - 2^{3})

\frac{2 x}{ln ( 2 ) ( x ^{2} + 1 )}

Solution steps

\frac{d}{d x} (lo g_{2} (x^{2} + 1) - 2^{3})

Simplify

lo g_{2} (x^{2} + 1) - 2^{3} : lo g_{2} (x^{2} + 1) - 8

= \frac{d}{d x} (lo g_{2} (x^{2} + 1) - 8)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (lo g_{2} (x^{2} + 1)) - \frac{d}{d x} (8)

\frac{d}{d x} (lo g_{2} (x^{2} + 1)) = \frac{2 x}{ln ( 2 ) ( x ^{2} + 1 )}

\frac{d}{d x} (8) = 0

= \frac{2 x}{ln ( 2 ) ( x ^{2} + 1 )} - 0

Simplify

= \frac{2 x}{ln ( 2 ) ( x ^{2} + 1 )}

\int 3 x e^{7 x^{2}} d x

x \to 2 - lim (ln (x - 2))

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

f (x) = 16 cos (2 x)

\int csc^{2} (x) d x

What is the derivative of log_{2}(x^2+1-2^3) ?
The derivative of log_{2}(x^2+1-2^3) is (2x)/(ln(2)(x^2+1))
What is the first derivative of log_{2}(x^2+1-2^3) ?
The first derivative of log_{2}(x^2+1-2^3) is (2x)/(ln(2)(x^2+1))