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Popular >

derivative of sqrt(9x^2-1)

Solution

derivative of

9 x^{2} - 1

Solution

\frac{9 x}{9 x ^{2} - 1}

Solution steps

\frac{d}{d x} (9 x^{2} - 1)

Apply the chain rule:

\frac{1}{2 9 x ^{2} - 1} \frac{d}{d x} (9 x^{2} - 1)

= \frac{1}{2 9 x ^{2} - 1} \frac{d}{d x} (9 x^{2} - 1)

\frac{d}{d x} (9 x^{2} - 1) = 18 x

= \frac{1}{2 9 x ^{2} - 1} \cdot 18 x

Simplify

\frac{1}{2 9 x ^{2} - 1} \cdot 18 x : \frac{9 x}{9 x ^{2} - 1}

= \frac{9 x}{9 x ^{2} - 1}

Popular Examples

integral of (e^{3x})/2

\int \frac{e ^{3 x}}{2} d x

derivative of y=cos^4(t)-sin^4(t)derivative of

y = cos^{4} (t) - sin^{4} (t)

(\partial)/(\partial x)(-(7x^2)/(x^2+y^2))

\frac{\partial}{\partial x} (- \frac{7 x ^{2}}{x ^{2} + y ^{2}})

tangent of 5-4/(x^2),\at x=4 tangent of

5 - \frac{4}{x ^{2}}, at x = 4

limit as x approaches infinity of x^3

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

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(9x^2-1) ?
The derivative of sqrt(9x^2-1) is (9x)/(sqrt(9x^2-1))
What is the first derivative of sqrt(9x^2-1) ?
The first derivative of sqrt(9x^2-1) is (9x)/(sqrt(9x^2-1))