What is the derivative of (2x^3-16/(x-2)) ?

The derivative of (2x^3-16/(x-2)) is 2(2x+2)

What is the first derivative of (2x^3-16/(x-2)) ?

The first derivative of (2x^3-16/(x-2)) is 2(2x+2)

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\frac{d}{d x} (\frac{2 x ^{3} - 16}{x - 2})

2 (2 x + 2)

Solution steps

\frac{d}{d x} (\frac{2 x ^{3} - 16}{x - 2})

Simplify

\frac{2 x ^{3} - 16}{x - 2} : 2 (x^{2} + 2 x + 4)

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (4) = 0

= 2 (2 x + 2 + 0)

Simplify

= 2 (2 x + 2)

y = \frac{5 x}{x + 3}, (2, 2)

f (x) = (x - 6) (2 x + 1)

f (x) = 2 + cos (x), at x = \frac{π}{2}

\frac{d}{d x} (\frac{- 9}{x ^{2} + 81})

\frac{\partial}{\partial x} (x^{2} e^{- x})

What is the derivative of (2x^3-16/(x-2)) ?
The derivative of (2x^3-16/(x-2)) is 2(2x+2)
What is the first derivative of (2x^3-16/(x-2)) ?
The first derivative of (2x^3-16/(x-2)) is 2(2x+2)