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Popular >

derivative of sqrt(2-3x^2)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 - 3 x^{2}) = - 6 x

= \frac{1}{2 2 - 3 x ^{2}} (- 6 x)

Simplify

\frac{1}{2 2 - 3 x ^{2}} (- 6 x) : - \frac{3 x}{2 - 3 x ^{2}}

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

Popular Examples

derivative of f(x)=(x^2)/(1+4x)derivative of

f (x) = \frac{x ^{2}}{1 + 4 x}

integral of 1/((arcsin(x))^3sqrt(1-x^2))

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

laplacetransform e^{4(t-3)}laplace transform

e^{4 (t - 3)}

limit as x approaches 1-of (-1)/(x^2-1)

x \to 1 - lim (\frac{- 1}{x ^{2} - 1})

integral of 1/(1-5x)

\int \frac{1}{1 - 5 x} d x

Frequently Asked Questions (FAQ)

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