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Popular >

derivative of (x^3-2x^2+2x-4/(x^2+2))

Solution

\frac{d}{d x} (\frac{x ^{3} - 2 x ^{2} + 2 x - 4}{x ^{2} + 2})

Solution

1

Solution steps

\frac{d}{d x} (\frac{x ^{3} - 2 x ^{2} + 2 x - 4}{x ^{2} + 2})

Simplify

\frac{x ^{3} - 2 x ^{2} + 2 x - 4}{x ^{2} + 2} : - 2 + x

= \frac{d}{d x} (- 2 + x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (2) + \frac{d x}{d x}

\frac{d}{d x} (2) = 0

\frac{d x}{d x} = 1

= - 0 + 1

Simplify

= 1

Popular Examples

derivative of f(x)=(c^9-x^9)/(c^9+x^9)derivative of

f (x) = \frac{c ^{9} - x ^{9}}{c ^{9} + x ^{9}}

derivative of sqrt(1+36x)

\frac{d}{d x} (1 + 36 x)

integral of 1/(x^2-12)

\int \frac{1}{x ^{2} - 12} d x

integral of (x+4)/(x^3+3x^2-10x)

\int \frac{x + 4}{x ^{3} + 3 x ^{2} - 10 x} d x

integral of-3pisin(pi)x

\int - 3 π sin (π) x d x

Frequently Asked Questions (FAQ)

What is the derivative of (x^3-2x^2+2x-4/(x^2+2)) ?
The derivative of (x^3-2x^2+2x-4/(x^2+2)) is 1
What is the first derivative of (x^3-2x^2+2x-4/(x^2+2)) ?
The first derivative of (x^3-2x^2+2x-4/(x^2+2)) is 1