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Popular >

derivative of (log_{2}(x)^2)

Solution

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

Solution

\frac{2 lo g _{2} ( x )}{ln ( 2 ) x}

Solution steps

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

Apply the chain rule:

2 lo g_{2} (x) \frac{d}{d x} (lo g_{2} (x))

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

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

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

Simplify

2 lo g_{2} (x) \frac{1}{x ln ( 2 )} : \frac{2 lo g _{2} ( x )}{ln ( 2 ) x}

= \frac{2 lo g _{2} ( x )}{ln ( 2 ) x}

Popular Examples

limit as x approaches 1-of (-3x-1)/(x-1)

x \to 1 - lim (\frac{- 3 x - 1}{x - 1})

limit as x approaches pi/2 of x-pi/2

x \to \frac{π}{2} lim (x - \frac{π}{2})

(\partial)/(\partial z)(x^2+yz)

\frac{\partial}{\partial z} (x^{2} + yz)

tangent of f(x)=x^2+2x,\at x=1 tangent of

f (x) = x^{2} + 2 x, at x = 1

integral of 1/(by^2+b^3)

\int \frac{1}{b y ^{2} + b ^{3}} d y

Frequently Asked Questions (FAQ)

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