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Popular >

derivative of sqrt(3x^2-2)

Solution

derivative of

3 x^{2} - 2

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

derivative of f(x)=-9.8x^2+2x+1 derivative of

f (x) = - 9.8 x^{2} + 2 x + 1

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

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

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

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

d/(dt)(-cos(2t))

\frac{d}{d t} (- cos (2 t))

tangent of y=x^8e^{-x},(1, 1/e)tangent of

y = x^{8} e^{- x}, (1, \frac{1}{e})

Frequently Asked Questions (FAQ)

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