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Popular >

derivative of-7ln(5x^2-11)

Solution

\frac{d}{d x} (- 7 ln (5 x^{2} - 11))

Solution

- \frac{70 x}{5 x ^{2} - 11}

Solution steps

\frac{d}{d x} (- 7 ln (5 x^{2} - 11))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 7 \frac{d}{d x} (ln (5 x^{2} - 11))

Apply the chain rule:

\frac{1}{5 x ^{2} - 11} \frac{d}{d x} (5 x^{2} - 11)

= \frac{1}{5 x ^{2} - 11} \frac{d}{d x} (5 x^{2} - 11)

\frac{d}{d x} (5 x^{2} - 11) = 10 x

= - 7 \cdot \frac{1}{5 x ^{2} - 11} \cdot 10 x

Simplify

- 7 \cdot \frac{1}{5 x ^{2} - 11} \cdot 10 x : - \frac{70 x}{5 x ^{2} - 11}

= - \frac{70 x}{5 x ^{2} - 11}

Popular Examples

integral from 2 to 3 of 1/(-7+16x-4x^2)

\int_{2}^{3} \frac{1}{- 7 + 16 x - 4 x ^{2}} d x

integral of 10^{x^2}x

\int 1 0^{x^{2}} x d x

limit as x approaches-infinity of x^3e^x

x \to - \infty lim (x^{3} e^{x})

limit as x approaches-2-of f(x)x

x \to - 2 - lim (f (x) x)

limit as x approaches 0 of 2/(x^3+x)

x \to 0 lim (\frac{2}{x ^{3} + x})

Frequently Asked Questions (FAQ)

What is the derivative of-7ln(5x^2-11) ?
The derivative of-7ln(5x^2-11) is -(70x)/(5x^2-11)
What is the first derivative of-7ln(5x^2-11) ?
The first derivative of-7ln(5x^2-11) is -(70x)/(5x^2-11)