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Popular >

derivative of ln(x^2-10x)

Solution

\frac{d}{d x} (ln (x^{2} - 10 x))

Solution

\frac{2 x - 10}{x ^{2} - 10 x}

Solution steps

\frac{d}{d x} (ln (x^{2} - 10 x))

Apply the chain rule:

\frac{1}{x ^{2} - 10 x} \frac{d}{d x} (x^{2} - 10 x)

= \frac{1}{x ^{2} - 10 x} \frac{d}{d x} (x^{2} - 10 x)

\frac{d}{d x} (x^{2} - 10 x) = 2 x - 10

= \frac{1}{x ^{2} - 10 x} (2 x - 10)

Simplify

\frac{1}{x ^{2} - 10 x} (2 x - 10) : \frac{2 x - 10}{x ^{2} - 10 x}

= \frac{2 x - 10}{x ^{2} - 10 x}

Graph

Popular Examples

(\partial)/(\partial x)(e^{-x/a})

\frac{\partial}{\partial x} (e^{- \frac{x}{a}})

(\partial)/(\partial y)(2x+3y-4)

\frac{\partial}{\partial y} (2 x + 3 y - 4)

(\partial)/(\partial y)(e^xy^3+2ye^{2x})

\frac{\partial}{\partial y} (e^{x} y^{3} + 2 y e^{2 x})

(dy)/(dx)=-y/(10)

\frac{d y}{d x} = - \frac{y}{10}

tangent of f(x)=x^2-8,(2,-4)tangent of

f (x) = x^{2} - 8, (2, - 4)

Frequently Asked Questions (FAQ)

What is the derivative of ln(x^2-10x) ?
The derivative of ln(x^2-10x) is (2x-10)/(x^2-10x)
What is the first derivative of ln(x^2-10x) ?
The first derivative of ln(x^2-10x) is (2x-10)/(x^2-10x)