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Popular >

derivative of sqrt(ln(4x))

Solution

derivative of

ln (4 x)

Solution

\frac{1}{2 x ln ( 4 x )}

Solution steps

\frac{d}{d x} (ln (4 x))

Apply the chain rule:

\frac{1}{2 ln ( 4 x )} \frac{d}{d x} (ln (4 x))

= \frac{1}{2 ln ( 4 x )} \frac{d}{d x} (ln (4 x))

\frac{d}{d x} (ln (4 x)) = \frac{1}{x}

= \frac{1}{2 ln ( 4 x )} \cdot \frac{1}{x}

Simplify

\frac{1}{2 ln ( 4 x )} \cdot \frac{1}{x} : \frac{1}{2 x ln ( 4 x )}

= \frac{1}{2 x ln ( 4 x )}

Popular Examples

(\partial)/(\partial y)(2x-2xy)

\frac{\partial}{\partial y} (2 x - 2 x y)

f^'(x)=x^{1/3}(2x-1)(x+1)

f^{^{'}} (x) = x^{\frac{1}{3}} (2 x - 1) (x + 1)

tangent of f(x)=2sqrt(x)+1,\at x= 1/4 tangent of

f (x) = 2 x + 1, at x = \frac{1}{4}

integral of 4e^{x/2}

\int 4 e^{\frac{x}{2}} d x

derivative of (2^{2/3}-x^{2/3}^{3/2})

\frac{d}{d x} ((2^{\frac{2}{3}} - x^{\frac{2}{3}})^{\frac{3}{2}})

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(ln(4x)) ?
The derivative of sqrt(ln(4x)) is 1/(2xsqrt(ln(4x)))
What is the first derivative of sqrt(ln(4x)) ?
The first derivative of sqrt(ln(4x)) is 1/(2xsqrt(ln(4x)))