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Popular >

derivative of sqrt(ln(8x))

Solution

\frac{d}{d x} (ln (8 x))

Solution

\frac{1}{2 x ln ( 8 x )}

Solution steps

\frac{d}{d x} (ln (8 x))

Apply the chain rule:

\frac{1}{2 ln ( 8 x )} \frac{d}{d x} (ln (8 x))

= \frac{1}{2 ln ( 8 x )} \frac{d}{d x} (ln (8 x))

\frac{d}{d x} (ln (8 x)) = \frac{1}{x}

= \frac{1}{2 ln ( 8 x )} \cdot \frac{1}{x}

Simplify

\frac{1}{2 ln ( 8 x )} \cdot \frac{1}{x} : \frac{1}{2 x ln ( 8 x )}

= \frac{1}{2 x ln ( 8 x )}

Popular Examples

2*x*y*y^'=-(x^2+y^2)

2 \cdot x \cdot y \cdot y^{^{'}} = - (x^{2} + y^{2})

derivative of (x^2/((x^2+5)^3))

\frac{d}{d x} (\frac{x ^{2}}{( x ^{2} + 5 ) ^{3}})

tangent of 9y^7+4x^3=8y+5x,(1,1)tangent of

9 y^{7} + 4 x^{3} = 8 y + 5 x, (1, 1)

(\partial)/(\partial x)(cos^5(x^7y^5))

\frac{\partial}{\partial x} (cos^{5} (x^{7} y^{5}))

x y^{^{'}} + (1 - x) y = 0

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(ln(8x)) ?
The derivative of sqrt(ln(8x)) is 1/(2xsqrt(ln(8x)))
What is the first derivative of sqrt(ln(8x)) ?
The first derivative of sqrt(ln(8x)) is 1/(2xsqrt(ln(8x)))