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Popular >

derivative of (x^3-5x^2-36x/(x^2+4x))

Solution

\frac{d}{d x} (\frac{x ^{3} - 5 x ^{2} - 36 x}{x ^{2} + 4 x})

Solution

1

Solution steps

\frac{d}{d x} (\frac{x ^{3} - 5 x ^{2} - 36 x}{x ^{2} + 4 x})

Simplify

\frac{x ^{3} - 5 x ^{2} - 36 x}{x ^{2} + 4 x} : x - 9

= \frac{d}{d x} (x - 9)

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} - \frac{d}{d x} (9)

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

\frac{d}{d x} (9) = 0

= 1 - 0

Simplify

= 1

Popular Examples

inverse oflaplace (25)/(x(x^2+6x+25))inverse laplace

\frac{25}{x ( x ^{2} + 6 x + 25 )}

\frac{d x}{d t} = x - 12

derivative of sin(1/x*x^3)

\frac{d}{d x} (sin (\frac{1}{x}) \cdot x^{3})

derivative of cos(sqrt(sin(tan(5x))))derivative of

cos (sin (tan (5 x)))

limit as x approaches-1 of x^3-1

x \to - 1 lim (x^{3} - 1)

Frequently Asked Questions (FAQ)

What is the derivative of (x^3-5x^2-36x/(x^2+4x)) ?
The derivative of (x^3-5x^2-36x/(x^2+4x)) is 1
What is the first derivative of (x^3-5x^2-36x/(x^2+4x)) ?
The first derivative of (x^3-5x^2-36x/(x^2+4x)) is 1