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Popular >

derivative of sqrt(x^3-1)

Solution

\frac{d}{d x} (x^{3} - 1)

Solution

\frac{3 x ^{2}}{2 x ^{3} - 1}

Solution steps

\frac{d}{d x} (x^{3} - 1)

Apply the chain rule:

\frac{1}{2 x ^{3} - 1} \frac{d}{d x} (x^{3} - 1)

= \frac{1}{2 x ^{3} - 1} \frac{d}{d x} (x^{3} - 1)

\frac{d}{d x} (x^{3} - 1) = 3 x^{2}

= \frac{1}{2 x ^{3} - 1} \cdot 3 x^{2}

Simplify

\frac{1}{2 x ^{3} - 1} \cdot 3 x^{2} : \frac{3 x ^{2}}{2 x ^{3} - 1}

= \frac{3 x ^{2}}{2 x ^{3} - 1}

Popular Examples

integral from-infinity to-1 of x^{-16/7}

\int_{- \infty}^{- 1} x^{- \frac{16}{7}} d x

integral of csc(t/4)cot(t/4)

\int csc (\frac{t}{4}) cot (\frac{t}{4}) d t

integral of tan^3(t)sec^2(t)

\int tan^{3} (t) sec^{2} (t) d t

derivative of (x^2)/((1+x))derivative of

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

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

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

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x^3-1) ?
The derivative of sqrt(x^3-1) is (3x^2)/(2sqrt(x^3-1))
What is the first derivative of sqrt(x^3-1) ?
The first derivative of sqrt(x^3-1) is (3x^2)/(2sqrt(x^3-1))