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Popular >

derivative of ln(x+sqrt(x^2-7))

Solution

derivative of

ln (x + x^{2} - 7)

Solution

\frac{1}{x ^{2} - 7}

Solution steps

\frac{d}{d x} (ln (x + x^{2} - 7))

Apply the chain rule:

\frac{1}{x + x ^{2} - 7} \frac{d}{d x} (x + x^{2} - 7)

= \frac{1}{x + x ^{2} - 7} \frac{d}{d x} (x + x^{2} - 7)

\frac{d}{d x} (x + x^{2} - 7) = 1 + \frac{x}{x ^{2} - 7}

= \frac{1}{x + x ^{2} - 7} (1 + \frac{x}{x ^{2} - 7})

Simplify

\frac{1}{x + x ^{2} - 7} (1 + \frac{x}{x ^{2} - 7}) : \frac{1}{x ^{2} - 7}

= \frac{1}{x ^{2} - 7}

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\int cot (15 x) d x

(\partial)/(\partial s)(sqrt(s^2+t^2))

\frac{\partial}{\partial s} (s^{2} + t^{2})

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n = 0 \sum \infty n sin (n \cdot π)

inverse oflaplace (s+1)/((s(s^2+s+1)))inverse laplace

\frac{s + 1}{( s ( s ^{2} + s + 1 ) )}

Frequently Asked Questions (FAQ)

What is the derivative of ln(x+sqrt(x^2-7)) ?
The derivative of ln(x+sqrt(x^2-7)) is 1/(sqrt(x^2-7))
What is the first derivative of ln(x+sqrt(x^2-7)) ?
The first derivative of ln(x+sqrt(x^2-7)) is 1/(sqrt(x^2-7))